{"id":125485,"date":"2023-04-06T03:45:00","date_gmt":"2023-04-05T22:15:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125485"},"modified":"2023-10-31T11:30:22","modified_gmt":"2023-10-31T06:00:22","slug":"rd-sharma-class-9-solutions-chapter-5-mcqs","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/","title":{"rendered":"RD Sharma Class 9 Solutions Chapter 5 MCQS (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-125629\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-5-MCQS.jpg\" alt=\"RD Sharma Class 9 Solutions Chapter 5 MCQS\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-5-MCQS.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-5-MCQS-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 MCQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 MCQS<\/span>: <\/strong>Subject matter experts have designed these easy-to-understand solutions for you in the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-for-maths\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths<\/a>. All the solutions are as per the current CBSE Syllabus. You can clear your concepts and score good marks in your Maths exam with <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 MCQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 5<\/a> MCQS<\/span>.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d059d2ca21f\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d059d2ca21f\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/#access-answers-of-rd-sharma-class-9-solutions-chapter-5-mcqs\" title=\"Access answers of RD Sharma Class 9 Solutions Chapter 5 MCQS\">Access answers of RD Sharma Class 9 Solutions Chapter 5 MCQS<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/#faqs-on-rd-sharma-class-9-solutions-chapter-5-mcqs\" title=\"FAQs on RD Sharma Class 9 Solutions Chapter 5 MCQS\">FAQs on RD Sharma Class 9 Solutions Chapter 5 MCQS<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/#how-many-questions-exist-in-rd-sharma-class-9-solutions-chapter-5-mcqs\" title=\"How many questions exist in RD Sharma Class 9 Solutions Chapter 5 MCQs?\">How many questions exist in RD Sharma Class 9 Solutions Chapter 5 MCQs?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/#is-it-even-beneficial-to-study-rd-sharma-class-9-solutions-chapter-5-mcqs\" title=\"Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 5 MCQs?\">Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 5 MCQs?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/#are-the-solutions-rd-sharma-class-9-solutions-chapter-5-mcqs-relevant\" title=\"Are the solutions RD Sharma Class 9 Solutions Chapter 5 MCQs\u00a0relevant?\">Are the solutions RD Sharma Class 9 Solutions Chapter 5 MCQs\u00a0relevant?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-class-9-solutions-chapter-5-mcqs\"><\/span><strong>Access answers of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 MCQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 MCQS<\/span><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Mark the correct alternative in each of the following:<br \/><\/strong><strong>Question 1.<br \/><\/strong><strong>The factors of x<sup>3<\/sup>\u00a0\u2013 x<sup>2<\/sup>y -xy<sup>2<\/sup>\u00a0+ y<sup>3<\/sup>\u00a0are<\/strong><br \/><strong>(a) (x + y) (x<sup>2<\/sup>\u00a0-xy + y<sup>2<\/sup>)<\/strong><br \/><strong>(b) (x+y)(x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>)<\/strong><br \/><strong>(c) (x + y)<sup>2<\/sup>\u00a0(x \u2013 y)<\/strong><br \/><strong>(d) (x \u2013 y)<sup>2<\/sup>\u00a0(x + y)<br \/><\/strong><strong>Solution:<br \/><\/strong>x<sup>3<\/sup>\u00a0\u2013 x<sup>2<\/sup>y \u2013 xy<sup>2<\/sup>\u00a0+ y<sup>3<br \/><\/sup><em>= x<sup>3<\/sup>\u00a0+\u00a0<\/em>y<sup>3<\/sup>\u00a0\u2013 x<sup>2<\/sup>y \u2013 xy<sup>2<br \/><\/sup>= (x + y) (x<sup>2<\/sup>\u00a0-xy + y<sup>2<\/sup>)- xy(x + y)<br \/>= (x + y) (x<sup>2<\/sup>\u00a0\u2013 xy + y<sup>2<\/sup>\u00a0\u2013 xy)<br \/>= (x + y) (x<sup>2<\/sup>\u00a0\u2013 2xy + y<sup>2<\/sup>)<br \/>= (x + y) (x \u2013 y)<sup>2\u00a0 \u00a0 \u00a0\u00a0<strong>\u00a0 \u00a0<\/strong><\/sup><strong>(d)<\/strong><\/p>\n<p><strong>Question 2.<br \/><\/strong><strong>The factors of x<sup>3<\/sup>\u00a0\u2013 1 +y<sup>3<\/sup>\u00a0+ 3xy are<\/strong><br \/><strong>(a) (x \u2013 1 + y)\u00a0 (x<sup>2<\/sup>\u00a0+ 1 + y<sup>2<\/sup>\u00a0+ x + y \u2013 xy)<\/strong><br \/><strong>(b) (x + y + 1)\u00a0 (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0+ 1- xy \u2013 x \u2013 y)<\/strong><br \/><strong>(c) (x \u2013 1 + y)\u00a0\u00a0 (x<sup>2<\/sup>\u00a0\u2013 1 \u2013 y<sup>2\u00a0<\/sup>+ x + y + xy)<\/strong><br \/><strong>(d) 3(x + y\u00a0\u2013 1) (x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0\u2013 1)<br \/><\/strong><strong>Solution:<br \/><\/strong>x<sup>3<\/sup>\u00a0\u2013 1 + y<sup>3<\/sup>\u00a0+ 3xy<br \/>= (x)<sup>3<\/sup>\u00a0+ (-1)<sup>3<\/sup>\u00a0+ (y)<sup>3<\/sup>\u00a0\u2013 3 x\u00a0 x\u00a0 x (-1) x y<br \/>= (x \u2013 1 + y) (x<sup>2<\/sup>\u00a0+ 1 + y<sup>2<\/sup>\u00a0+ x + y \u2013 xy)<br \/>= (x- 1 + y) (x<sup>2<\/sup>+ 1 + y<sup>2<\/sup>\u00a0+ x + y \u2013 xy)\u00a0 \u00a0 \u00a0<strong>\u00a0(a)<\/strong><\/p>\n<div class=\"code-block code-block-2\">\u00a0<\/div>\n<p><strong>Question 3.<br \/><\/strong><strong>The factors of 8a<sup>3<\/sup>\u00a0+ b<sup>3<\/sup>\u00a0\u2013 6ab + 1 are<\/strong><br \/><strong>(a) (2a + b \u2013 1) (4a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 1 \u2013 3ab \u2013 2a)<\/strong><br \/><strong>(b) (2a \u2013 b + 1) (4a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0\u2013 4ab + 1 \u2013 2a + b)<\/strong><br \/><strong>(c) (2a + b+1) (4a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 1 \u2013 2ab \u2013 b \u2013 2a)<\/strong><br \/><strong>(d) (2a \u2013 1 + b)(4a<sup>2<\/sup>\u00a0+ 1 \u2013 4a \u2013 b \u2013 2ab)<br \/><\/strong><strong>Solution:<br \/><\/strong>8a<sup>3<\/sup>\u00a0+ b<sup>3<\/sup>\u00a0\u2013 6ab + 1<br \/>= (2a)<sup>3<\/sup>\u00a0+ (b)<sup>3<\/sup>\u00a0+ (1)<sup>3<\/sup>\u00a0\u2013 3 x 2a x b x 1<br \/>= (2a + b + 1) [(2a)<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>+1-2a x b- b x 1 \u2013 1 x 2a]<br \/>= (2a + b + 1) (4a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>+1-2ab-b- 2a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong>\u00a0(c)<\/strong><\/p>\n<p><strong>Question 4.<br \/><\/strong><strong>(x + y)<sup>3<\/sup>\u00a0\u2013 (x \u2013 v)<sup>3<\/sup>\u00a0can be factorized as<\/strong><br \/><strong>(a) 2y (3x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) 2x (3x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>)<\/strong><br \/><strong>(c) 2y (3y<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) 2x (x<sup>2<\/sup>\u00a0+ 3y<sup>2<\/sup>)<\/strong><br \/><strong>Solution:<br \/><\/strong>(x + y)<sup>3<\/sup>\u00a0\u2013 (x \u2013 y)<sup>3<br \/><\/sup>= (x + y -x + y) [(x + y)<sup>2<\/sup>\u00a0+ (x +y) (x -y) + (x \u2013 y)<sup>2<\/sup>]<br \/>= 2y(x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0+ 2xy + x<sup>2<\/sup>-y<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>+y<sup>2<\/sup>\u00a0\u2013 2xy)<br \/>= 2y(3x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong>\u00a0 (a)<\/strong><\/p>\n<p><strong>Question 5.<br \/><\/strong><strong>The expression (a \u2013 b)<sup>3<\/sup>\u00a0+ (b \u2013 c)<sup>3<\/sup>\u00a0+ (c \u2013 a)<sup>3<\/sup>\u00a0can be factorized as<\/strong><br \/><strong>(a) (a -b) (b- c) (c \u2013 a)\u00a0<\/strong><br \/><strong>(b) 3(a \u2013 b) (b \u2013 c) (c \u2013 a)<\/strong><br \/><strong>(c) -3(a \u2013 b) (b \u2013 c) (a \u2013 a)<\/strong><br \/><strong>(d) (a + b + c) (a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ c<sup>2<\/sup>\u00a0\u2013 ab \u2013 bc \u2013 ca)<\/strong><br \/><strong>Solution:<br \/><\/strong>(a \u2013 b)<sup>3<\/sup>\u00a0+ (b \u2013 c)<sup>3<\/sup>\u00a0+ (c \u2013 a)<sup>3<br \/><\/sup>Let a \u2013 b = x, b \u2013 a = y, c \u2013 a = z<br \/>\u2234 x<sup>3<\/sup>\u00a0+ y<sup>3<\/sup>\u00a0+ z<sup>3<br \/><\/sup>x+y + z = a- b + b- c + c \u2013 a = 0<br \/>\u2234 x<sup>3<\/sup>\u00a0+y<sup>3<\/sup>\u00a0+ z<sup>3<\/sup>\u00a0= 3xyz<br \/>(a \u2013 b)<sup>3<\/sup>\u00a0+ (b \u2013 a)<sup>3<\/sup>\u00a0+ (c \u2013 a)<sup>3<br \/><\/sup>= 3 (a \u2013 b) (b \u2013 c) (c \u2013 a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong>\u00a0 (b)<\/strong><\/p>\n<p><strong>Question 6.<\/strong><br \/><img class=\"alignnone size-full wp-image-65872\" src=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q6.1.png\" sizes=\"(max-width: 554px) 100vw, 554px\" srcset=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q6.1.png 554w, https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q6.1-300x51.png 300w\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions MCQS Q6.1\" width=\"554\" height=\"94\" \/><br \/><strong>Solution:<\/strong><br \/><img class=\"alignnone size-full wp-image-65873\" src=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q6.2.png\" sizes=\"(max-width: 710px) 100vw, 710px\" srcset=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q6.2.png 710w, https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q6.2-300x101.png 300w\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions MCQS Q6.2\" width=\"710\" height=\"239\" \/><\/p>\n<p><strong>Question 7.<\/strong><br \/><img class=\"alignnone size-full wp-image-65874\" src=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q7.1.png\" sizes=\"(max-width: 576px) 100vw, 576px\" srcset=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q7.1.png 576w, https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q7.1-300x54.png 300w\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions MCQS Q7.1\" width=\"576\" height=\"103\" \/><br \/><strong>Solution:<\/strong><br \/><img class=\"alignnone size-full wp-image-65875\" src=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q7.2.png\" sizes=\"(max-width: 714px) 100vw, 714px\" srcset=\"https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q7.2.png 714w, https:\/\/www.learninsta.com\/wp-content\/uploads\/2018\/06\/RD-Sharma-Class-9-Solutions-Chapter-5-Factorisation-of-Algebraic-Expressions-MCQS-Q7.2-300x71.png 300w\" alt=\"RD Sharma Class 9 Solutions Chapter 5 Factorisation of Algebraic Expressions MCQS Q7.2\" width=\"714\" height=\"170\" \/><\/p>\n<p><strong>Question 8.<br \/><\/strong><strong>The factors of a<sup>2<\/sup>\u00a0\u2013 1 \u2013 2x \u2013 x<sup>2<\/sup>\u00a0are<\/strong><br \/><strong>(a) (a \u2013 x + 1) (a \u2013 x \u2013 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) (a + x \u2013 1) (a \u2013 x + 1)<\/strong><br \/><strong>(c) (a + x + 1) (a \u2013 x \u2013 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) none of these<br \/><\/strong><strong>Solution:<br \/><\/strong>a<sup>2<\/sup>\u00a0\u2013 1- 2x \u2013 x<sup>2<br \/><\/sup>\u21d2 a<sup>2<\/sup>\u00a0\u2013 (1 + 2x + x<sup>2<\/sup>)<br \/>= (a)<sup>2<\/sup>\u00a0\u2013 (1 + x)<sup>2<\/sup><br \/>= (a + 1 + x) (a \u2013 1 \u2013 x)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>\u00a0(c)<\/strong><\/p>\n<p><strong>Question 9.<br \/><\/strong><strong>The factors of x<sup>4<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0+ 25 are<\/strong><br \/><strong>(a) (x<sup>2<\/sup>\u00a0+ 3x + 5) (x<sup>2<\/sup>\u00a0\u2013 3x + 5)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) (x<sup>2<\/sup>\u00a0+ 3x + 5) (x<sup>2<\/sup>\u00a0+ 3x \u2013 5)<\/strong><br \/><strong>(c) (x<sup>2<\/sup>\u00a0+ x + 5) (x<sup>2<\/sup>\u00a0\u2013 x + 5)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) none of these<br \/><\/strong><strong>Solution:<br \/><\/strong>x<sup>4<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0+ 25 = x<sup>4<\/sup>\u00a0+ 25 +x<sup>2<br \/><\/sup>= (x<sup>2<\/sup>)<sup>2<\/sup>\u00a0+ (5)<sup>2<\/sup>\u00a0+ 2 x x<sup>2<\/sup>\u00a0x 5- 9x<sup>2<br \/><\/sup>= (x<sup>2<\/sup>\u00a0+ 5)<sup>2<\/sup>\u00a0\u2013 (3x)<sup>2<br \/><\/sup>= (x<sup>2<\/sup>\u00a0+ 5 + 3x) (x<sup>2<\/sup>\u00a0+ 5 \u2013 3x)<br \/>= (x<sup>2<\/sup>\u00a0+ 3x + 5) (x<sup>2<\/sup>\u00a0\u2013 3x + 5)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(a)<\/strong><\/p>\n<p><strong>Question 10.<br \/><\/strong><strong>The factors of x<sup>2<\/sup>\u00a0+ 4y<sup>2<\/sup>\u00a0+ 4y \u2013 4xy \u2013 2x \u2013 8 are<\/strong><br \/><strong>(a) (x \u2013 2y \u2013 4) (x \u2013 2y + 2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b)\u00a0 (x \u2013 y\u00a0 +\u00a0\u00a0 2) (x \u2013 4y \u2013 4)<\/strong><br \/><strong>(c) (x + 2y \u2013 4) (x + 2y + 2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d)\u00a0\u00a0\u00a0 none of these<\/strong><br \/><strong>Solution:<br \/><\/strong>x<sup>2<\/sup>\u00a0+ 4y<sup>2<\/sup>\u00a0+ 4y \u2013 4xy \u2013 2x \u2013 8<br \/>\u21d2\u00a0 x<sup>2<\/sup>\u00a0+ 4y + 4y \u2013 4xy \u2013 2x \u2013 8<br \/>= (x)<sup>2<\/sup>\u00a0+ (2y)<sup>2<\/sup>\u2013 2 x x x 2y + 4y-2x-8<br \/>= (x \u2013 2y)<sup>2<\/sup>\u00a0\u2013 (2x \u2013 4y) \u2013 8<br \/>= (x \u2013 2y)<sup>2<\/sup>\u00a0\u2013 2 (x \u2013 2y) \u2013 8<br \/>Let x \u2013 2y = a, then<br \/>a<sup>2<\/sup>\u2013 2a \u2013 8 = a<sup>2<\/sup>\u2013 4a + 2a \u2013 8<br \/>= a(a \u2013 4) + 2(a \u2013 4)<br \/>= (a-4) (a + 2)<br \/>= (x<sup>2<\/sup>\u00a0-2y-4) (x<sup>2<\/sup>\u00a0-2y + 2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong>\u00a0\u00a0 (a)<\/strong><\/p>\n<p><strong>Question 11.<br \/><\/strong><strong>The factors of x<sup>3<\/sup>\u00a0\u2013 7x + 6 are<\/strong><br \/><strong>(a) x(x \u2013 6) (x \u2013 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) (x<sup>2<\/sup>\u00a0\u2013 6) (x \u2013 1)<\/strong><br \/><strong>(c) (x + 1) (x + 2) (x \u2013 3)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) (x \u2013 1) (x + 3) (x \u2013 2)<\/strong><br \/><strong>Solution:<br \/><\/strong>x<sup>3\u00a0<\/sup>-7x + 6= x<sup>3<\/sup>-1-7x + 7<br \/>= (x \u2013 1) (x<sup>2<\/sup>\u00a0+ x + 1) \u2013 7(x \u2013 1)<br \/>= (x \u2013 1) (x<sup>2<\/sup>\u00a0+ x + 1 \u2013 7)<br \/>= (x \u2013 1) (x<sup>2<\/sup>\u00a0+ x \u2013 6)<br \/>= (x \u2013 1) [x<sup>2<\/sup>\u00a0+ 3x \u2013 2x \u2013 6]<br \/>= (x \u2013 1) [x(x + 3) \u2013 2(x + 3)]<br \/>= (x \u2013 1) (x+ 3) (x \u2013 2)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>\u00a0 \u00a0 \u00a0 \u00a0(d)<\/strong><\/p>\n<p><strong>Question 12.<br \/><\/strong><strong>The expression x<sup>4<\/sup>\u00a0+ 4 can be factorized as<\/strong><br \/><strong>(a) (x<sup>2<\/sup>\u00a0+ 2x + 2) (x<sup>2<\/sup>\u00a0\u2013 2x + 2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) (x<sup>2<\/sup>\u00a0+ 2x + 2) (x<sup>2<\/sup>\u00a0+ 2x \u2013 2)<\/strong><br \/><strong>(c) (x<sup>2<\/sup>\u00a0\u2013 2x \u2013 2) (x<sup>2<\/sup>\u00a0\u2013 2x + 2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) (x<sup>2<\/sup>\u00a0+ 2) (x<sup>2<\/sup>\u00a0\u2013 2)<br \/><\/strong><strong>Solution:<br \/><\/strong>x<sup>4<\/sup>\u00a0+ 4 = x<sup>4<\/sup>\u00a0+ 4 + 4x<sup>2<\/sup>\u00a0\u2013 4x<sup>2<\/sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (Adding and subtracting 4x<sup>2<\/sup>)<br \/>= (x<sup>2<\/sup>)<sup>2<\/sup>\u00a0+ (2)<sup>2<\/sup>\u00a0+ 2 x x<sup>2<\/sup>\u00a0x 2 \u2013 (2x)<sup>2<br \/><\/sup>= (x<sup>2<\/sup>\u00a0+ 2)<sup>2<\/sup>\u00a0\u2013 (2x)<sup>2<br \/><\/sup>= (x<sup>2<\/sup>\u00a0+ 2 + 2x) (x<sup>2<\/sup>\u00a0+ 2 \u2013 2x)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 {\u2235 a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0= (a + b) (a \u2013 b)}<br \/>= (x<sup>2<\/sup>\u00a0+ 2x + 2) (x<sup>2<\/sup>\u00a0\u2013 2x + 2)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>\u00a0(a)<\/strong><\/p>\n<p><strong>Question 13.<br \/><\/strong><strong>If 3x = a + b + c, then the value of (x \u2013 a)<sup>3<\/sup>\u00a0+ (x \u2013\u00a0\u00a0\u00a0 bf + (x \u2013 cf \u2013 3(x \u2013 a) (x \u2013 b) (x \u2013 c) is<\/strong><br \/><strong>(a) a + b + c\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) (a \u2013 b) {b \u2013 c) (c \u2013 a)<\/strong><br \/><strong>(c) 0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) none of these<br \/><\/strong><strong>Solution:<br \/><\/strong>3x = a + b + c\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .<br \/>\u21d2 3x-a-b-c = 0<br \/>Now, (x \u2013 a)<sup>3<\/sup>+ (x \u2013 b)<sup>3<\/sup>\u00a0+ (x \u2013 c)<sup>3\u00a0<\/sup>\u2013 3(x \u2013 a) (x -b)\u00a0 (x \u2013 c)<br \/>= {(x \u2013 a) + (x \u2013 b) + (x \u2013 c)} {(x \u2013 a)<sup>2<\/sup>\u00a0+ (x \u2013 b)<sup>2\u00a0<\/sup>+ (x \u2013 c)<sup>2<\/sup>\u00a0 \u2013 (x \u2013 a) (x \u2013 b) (x \u2013 b) (x \u2013 c) \u2013 (x \u2013 c) (x \u2013 a)}<br \/>= (x \u2013 a + x \u2013 b + x \u2013 c) {(x \u2013 a)<sup>2<\/sup>\u00a0+ (x \u2013 b)<sup>2\u00a0\u00a0<\/sup>+ (x \u2013 c)<sup>2<\/sup>\u00a0\u2013 (x \u2013 a) (x \u2013 b) \u2013 (x \u2013 b) (x \u2013 c) \u2013 (x \u2013 c) (x \u2013 a)}<br \/>= (3x \u2013 a \u2013 b -c) {(x \u2013 a)<sup>2<\/sup>\u00a0+ (x -b)<sup>2<\/sup>+ (x \u2013 c)<sup>2<\/sup>\u00a0\u2013 (x \u2013 a) (x \u2013 b) \u2013 (x \u2013 b) (x \u2013 c) \u2013 (x \u2013 c) (x \u2013 a)}<br \/>But 3x-a-b-c = 0, then<br \/>= 0 x {(x \u2013 a)<sup>2<\/sup>\u00a0+ (x \u2013 b)<sup>2<\/sup>\u00a0+ (x \u2013 c)<sup>2<\/sup>\u00a0\u2013 (x \u2013 a) (x \u2013 b) \u2013 (x \u2013 b) (x \u2013 c) \u2013 (x \u2013 c) (x \u2013 a)}<br \/>= 0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>\u00a0(c)<\/strong><\/p>\n<p><strong>Question 14.<br \/><\/strong><strong>If (x + y)<sup>3<\/sup>\u00a0\u2013 (x \u2013 y)<sup>3<\/sup>\u00a0\u2013 6y(x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>) = ky<sup>2<\/sup>, then k =<\/strong><br \/><strong>(a) 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(c) 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) 8<br \/><\/strong><strong>Solution:<br \/><\/strong>(x + y)<sup>3<\/sup>\u00a0\u2013 (x \u2013 y)<sup>3<\/sup>\u00a0\u2013 6y(x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>) = ky<sup>2<\/sup><sup><br \/><\/sup>LHS = (x + y)<sup>3<\/sup>\u00a0\u2013 (x \u2013 y)<sup>3<\/sup>\u00a0\u2013 3 x (x + y) (x \u2013 y) [x + y \u2013 x + y]<br \/>= (x+y-x + y)<sup>3<\/sup>\u00a0 \u00a0 \u00a0 \u00a0{\u2235 a<sup>3<\/sup>\u00a0\u2013 b<sup>3<\/sup>\u00a0\u2013 3ab (a \u2013 b) = a<sup>3<\/sup>\u00a0\u2013 b<sup>3<\/sup>}<br \/>= (2y)<sup>3<\/sup>\u00a0= 8y<sup>3<br \/><\/sup>Comparing with ky<sup>3<\/sup>, k = 8\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>\u00a0 \u00a0(d)<\/strong><\/p>\n<p><strong>Question 15.<br \/><\/strong><strong>If x<sup>3<\/sup>\u00a0\u2013 3x<sup>2<\/sup>\u00a0+ 3x \u2013 7 = (x + 1) (ax<sup>2<\/sup>\u00a0+ bx + c), then a + b + c =<\/strong><br \/><strong>(a) 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(b) 12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(c) -10\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><br \/><strong>(d) 3<br \/><\/strong><strong>Solution:<br \/><\/strong>x<sup>3<\/sup>\u00a0\u2013 3x<sup>2<\/sup>\u00a0+ 3x + 7 = (x + 1) (ax<sup>2<\/sup>\u00a0+ bx + c)<br \/>= ax<sup>3<\/sup>\u00a0+ bx<sup>2<\/sup>\u00a0+ cx + ax<sup>2<\/sup>\u00a0+ bx + c<br \/>x<sup>3<\/sup>\u00a0\u2013 3x<sup>2<\/sup>\u00a0+ 3x \u2013 7 = ax<sup>3<\/sup>\u00a0+ (b + a)<sup>2<\/sup>\u00a0+ (c + b)x + c<br \/>Comparing the coefficient,<br \/>a = 1<br \/>b + a = -3\u00a0\u21d2\u00a0b+1=-3\u00a0\u21d2\u00a0b = -3-1=-4<br \/>c + b = 3\u00a0\u21d2\u00a0c- 4 = 3\u00a0\u21d2\u00a0c = 3 + 4 = 7<br \/>a + b + c = 1- 4 + 7 = 8- 4 = 4\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>\u00a0 \u00a0(a)<\/strong><\/p>\n<p>This is the complete blog on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 MCQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 MCQS<\/span>. To know more about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 9 Maths exam, ask in the comments.\u00a0<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-9-solutions-chapter-5-mcqs\"><\/span><strong>FAQs on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 MCQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 MCQS<\/span><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1631098651580\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-exist-in-rd-sharma-class-9-solutions-chapter-5-mcqs\"><\/span>How many questions exist in RD Sharma Class 9 Solutions Chapter 5 MCQs?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 15 questions in\u00a0RD Sharma Class 9 Solutions Chapter 5 MCQs.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631098669862\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-even-beneficial-to-study-rd-sharma-class-9-solutions-chapter-5-mcqs\"><\/span>Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 5 MCQs?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, your preparation will be strengthened with this amazing help book. This book will answer all your questions.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631098705565\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-the-solutions-rd-sharma-class-9-solutions-chapter-5-mcqs-relevant\"><\/span>Are the solutions RD Sharma Class 9 Solutions Chapter 5 MCQs\u00a0relevant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The solutions are relevant as the subject matter experts design them. \u00a0<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 9 Solutions Chapter 5 MCQS: Subject matter experts have designed these easy-to-understand solutions for you in the RD Sharma Solutions Class 9 Maths. All the solutions are as per the current CBSE Syllabus. You can clear your concepts and score good marks in your Maths exam with RD Sharma Class 9 Solutions &#8230; <a title=\"RD Sharma Class 9 Solutions Chapter 5 MCQS (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-mcqs\/\" aria-label=\"More on RD Sharma Class 9 Solutions Chapter 5 MCQS (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":125629,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411],"tags":[3086,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125485"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=125485"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125485\/revisions"}],"predecessor-version":[{"id":499708,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125485\/revisions\/499708"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/125629"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}