{"id":71951,"date":"2021-02-04T15:14:19","date_gmt":"2021-02-04T09:44:19","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71951"},"modified":"2021-02-04T15:14:31","modified_gmt":"2021-02-04T09:44:31","slug":"rd-sharma-chapter-6-class-9-maths-exercise-6-2-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-2-solutions\/","title":{"rendered":"RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions is about the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-6-factorization-of-polynomials\/\" target=\"_blank\" rel=\"noopener noreferrer\">Factorization of Polynomial<\/a> in which students will learn about finding the value of a polynomial. In this exercise, we will discuss the- Zeros (roots) of a polynomial, The Value of a polynomial, And some Important theorem. Moreover, students will learn about the tips and tricks to solve the factorization of the polynomial in an easy way.<\/p>\n<p>In the attached PDF, we have given a stepwise explanation for each problem. Students can refer to these questions for practice for the exam. Our experts prepare the list of problems mentioned in the PDF with the help of CBSE and RD Sharma Book after referring to previous year papers of class 9.<\/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-69db733bcbcde\" 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-69db733bcbcde\"><\/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-chapter-6-class-9-maths-exercise-6-2-solutions\/#download-rd-sharma-chapter-6-class-9-maths-exercise-62-solutions-pdf\" title=\"Download RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions PDF\">Download RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions PDF<\/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-chapter-6-class-9-maths-exercise-6-2-solutions\/#important-definitions-rd-sharma-chapter-6-class-9-maths-exercise-62-solutions\" title=\"Important Definitions RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions\">Important Definitions RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions<\/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-chapter-6-class-9-maths-exercise-6-2-solutions\/#zeros-roots-of-a-polynomial\" title=\"Zeros\/ Roots of a Polynomial\">Zeros\/ Roots of a Polynomial<\/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-chapter-6-class-9-maths-exercise-6-2-solutions\/#value-of-a-polynomial\" title=\"Value of a Polynomial\">Value of a Polynomial<\/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-chapter-6-class-9-maths-exercise-6-2-solutions\/#examples-based-on-the-value-of-polynomial\" title=\"Examples Based on the Value of Polynomial\">Examples Based on the Value of Polynomial<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-2-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-6-class-9-maths-exercise-62-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-6-class-9-maths-exercise-62-solutions-pdf\"><\/span>Download RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-6-Factorization-of-Polynomials-Exercise-6.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-6-Factorization-of-Polynomials-Exercise-6.2.pdf\">Solutions for Class 9 Maths Chapter 6 Factorization of Polynomials Exercise 6.2<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-6-class-9-maths-exercise-62-solutions\"><\/span>Important Definitions RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The Chapter 6 Class 9 Maths Exercise 6.2, the factorization of polynomials is based on the following topics and subtopics-<\/p>\n<ol>\n<li>Zeros (roots) of a polynomial.<\/li>\n<li>Value of a polynomial: The value of a polynomial f(x) at x = a is concerned about replacing x = a in the given polynomial and is indicated by f(a).<\/li>\n<li>Results of some Important theorem.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"zeros-roots-of-a-polynomial\"><\/span>Zeros\/ Roots of a Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>It is an answer to the polynomial equation, P(x) = 0. It is such a value of x that forms the polynomial equal to 0.<\/p>\n<p>In other terms, the number \u2018r\u2019 is a root of a polynomial P(x), if and only if\u00a0 P(r) = 0.<\/p>\n<p>Example-<\/p>\n<p>1. Let P(x) = 5x<sup>3<\/sup> \u2212 4x<sup>2<\/sup> + 7x \u2212 8.\u00a0 Then a root of that polynomial is 1 because according to the definition:<\/p>\n<p>= 5 &#8211; 4 + 7 &#8211; 8<\/p>\n<p>= 0<\/p>\n<p>It is usual to speak of a root of a polynomial. In general, we say a zero.<\/p>\n<p>2. The roots of the quadratic-<\/p>\n<p>= x<sup>2 <\/sup>&#8211; x- 6 = (x+2) (x-3)<\/p>\n<p>are \u22122 and 3.\u00a0 Those are the values of \u2018x\u2019 that will give the polynomial equal to 0.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"value-of-a-polynomial\"><\/span>Value of a Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The value of a polynomial f(x) at x = a is concerned about replacing x = a in the given polynomial and is indicated by f(a).<\/p>\n<p><strong>Example-<\/strong><\/p>\n<p>7+5-2 is a polynomial is of degree 2 or a quadratic polynomial in.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"examples-based-on-the-value-of-polynomial\"><\/span>Examples Based on the Value of Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques- f(x) = 3x + 1, x = \u22121\/3<\/strong><\/p>\n<p><strong>Solution- <\/strong>f(x) = 3x + 1, x = \u22121\/3<\/p>\n<p>f(x) = 3x + 1<\/p>\n<p>Substitute x = \u22121\/3 in f(x)<\/p>\n<p>f( \u22121\/3) = 3(\u22121\/3) + 1<\/p>\n<p>= -1 + 1<\/p>\n<p>= 0<\/p>\n<p>Since, the result is 0, so x = \u22121\/3 is the root of 3x + 1<\/p>\n<p><strong>Ques 2-<\/strong> <strong>g(x) = 3x<sup>2<\/sup><\/strong><strong> \u2013 2 , x = 2\/\u221a3 , \u22122\/\u221a3<\/strong><\/p>\n<p><strong>Solution- <\/strong>g(x) = 3x<sup>2<\/sup> \u2013 2<\/p>\n<p>Substitute x = 2\/\u221a3 in g(x)<\/p>\n<p>g(2\/\u221a3) = 3(2\/\u221a3)<sup>2<\/sup> \u2013 2<\/p>\n<p>= 3(4\/3) \u2013 2<\/p>\n<p>= 4 \u2013 2<\/p>\n<p>= 2 \u2260 0<\/p>\n<p>Now, Substitute x = \u22122\/\u221a3 in g(x)<\/p>\n<p>g(2\/\u221a3) = 3(-2\/\u221a3)<sup>2<\/sup> \u2013 2<\/p>\n<p>= 3(4\/3) \u2013 2<\/p>\n<p>= 4 \u2013 2<\/p>\n<p>= 2 \u2260 0<\/p>\n<p>Since, the results when x = 2\/\u221a3 and x = \u22122\/\u221a3) are not 0. Therefore (2\/\u221a3 , \u22122\/\u221a3 ) are not zeros of 3x<sup>2<\/sup>\u20132.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-6-class-9-maths-exercise-62-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1- What is the meaning of rationalization?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Rationalization means organizing something into a logically consistent system.<\/p>\n<p><strong>Ques 2- Can 0 be a polynomial?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Alike any constant value, the value Zero (0) can be recognized as a (constant) polynomial, called the zero polynomial.<\/p>\n<p><strong>Ques 3- Can zero be a root?<\/strong><\/p>\n<p><strong>Ans-<\/strong> A root\/ zero of a polynomial is the value(s) of X that makes the polynomial to = 0 (or make Y=0). This is an X-intercept. The root is the X-value, and zero (0) is the Y-value.<\/p>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">Know about CBSE Board<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions is about the Factorization of Polynomial in which students will learn about finding the value of a polynomial. In this exercise, we will discuss the- Zeros (roots) of a polynomial, The Value of a polynomial, And some Important theorem. Moreover, students will learn about the &#8230; <a title=\"RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-2-solutions\/\" aria-label=\"More on RD Sharma Chapter 6 Class 9 Maths Exercise 6.2 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71952,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71951"}],"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\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=71951"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71951\/revisions"}],"predecessor-version":[{"id":73403,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71951\/revisions\/73403"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71952"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}