{"id":71948,"date":"2021-02-04T15:14:13","date_gmt":"2021-02-04T09:44:13","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71948"},"modified":"2021-02-04T15:14:19","modified_gmt":"2021-02-04T09:44:19","slug":"rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/","title":{"rendered":"RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions is based on the Factorization of Polynomials. A polynomial is an identity in which a unification of constants and variables. It is common to get confused between the degree and coefficient of a polynomial. So, the exponent of the highest degree number in a polynomial is called its degree, whereas the coefficient of the leading term is known as the leading coefficient.<\/p>\n<p>Go down to the article to get more details 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 Polynomials<\/a>. We have also attached the RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions PDF for the students to do more and more practice on every type of question-related to this exercise. Moreover, the questions are taken from the CBSE Maths Book and RD Sharma 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-69e388fbbe927\" 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-69e388fbbe927\"><\/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-6-1-solutions\/#download-rd-sharma-chapter-6-class-9-maths-exercise-61-solutions-pdf\" title=\"Download RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions PDF\">Download RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 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-6-1-solutions\/#important-definitions-rd-sharma-chapter-6-class-9-maths-exercise-61-solutions\" title=\"Important Definitions RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions\">Important Definitions RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 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-6-1-solutions\/#factorization-of-polynomials-introduction\" title=\"Factorization of Polynomials introduction\">Factorization of Polynomials introduction<\/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-6-1-solutions\/#terms-and-coefficients\" title=\"Terms and Coefficients\">Terms and Coefficients<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#term\" title=\"Term\">Term<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#coefficient\" title=\"Coefficient\">Coefficient<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#degree-of-a-polynomial\" title=\"Degree of a Polynomial\">Degree of a Polynomial<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#constant-polynomial\" title=\"Constant Polynomial\">Constant Polynomial<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#linear-polynomial\" title=\"Linear Polynomial\">Linear Polynomial<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#quadratic-polynomial\" title=\"Quadratic Polynomial\">Quadratic Polynomial<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#cubic-polynomial\" title=\"Cubic Polynomial\">Cubic Polynomial<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#bi-quadratic-polynomial\" title=\"Bi-Quadratic Polynomial\">Bi-Quadratic Polynomial<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-6-class-9-maths-exercise-61-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-6-class-9-maths-exercise-61-solutions-pdf\"><\/span>Download RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 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-6.1.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-6.1.pdf\">Solutions for Class 9 Maths Chapter 6 Factorization of Polynomials Exercise 6.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-6-class-9-maths-exercise-61-solutions\"><\/span>Important Definitions RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In this exercise, learners will get to know about the factorization of Polynomials based on the following topics and subtopics-<\/p>\n<ol>\n<li>Factorization of Polynomials introduction<\/li>\n<li>Terms and coefficients<\/li>\n<li>Degree of a polynomial<\/li>\n<li>Constant polynomial<\/li>\n<li>Linear polynomial<\/li>\n<li>Quadratic polynomial<\/li>\n<li>Cubic polynomial<\/li>\n<li>Bi-quadratic polynomial<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"factorization-of-polynomials-introduction\"><\/span><strong>Factorization of Polynomials introduction<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Factorization of Polynomials signifies a polynomial with coefficients in a provided area or the integers as the product of fundamental factors with coefficients in the corresponding domain. Polynomial factorization is one of the significant components of computer algebra operations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"terms-and-coefficients\"><\/span><strong>Terms and Coefficients<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"term\"><\/span><strong>Term<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A term can be a number, product, a variable of two or more variables, or product of a number and a variable. An algebraic identity is formed by a separate term or by a group of terms.<\/p>\n<p>For example, in the expression 6x + y, the two terms are 6x and y.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"coefficient\"><\/span><strong>Coefficient<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>A coefficient is an integer that is formulated along with a variable or multiplied by the variable.<\/li>\n<\/ul>\n<p>For example, in the term 9p, 9 is the co-efficient.<\/p>\n<ul>\n<li>Those variables which do not carry any number with them have a coefficient of one.<\/li>\n<\/ul>\n<p>For example, the term q has a coefficient of 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"degree-of-a-polynomial\"><\/span><strong>Degree of a Polynomial<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A polynomial degree is the highest or the greatest power of a variable in a polynomial equalization. The degree symbolizes the highest exponential power in the polynomial (neglecting the coefficients).<\/p>\n<p><strong>For Example-<\/strong><\/p>\n<p>5x<sup>4<\/sup> + 3x<sup>3<\/sup>+ 2 is a polynomial.\u00a0 Here 5x<sup>4<\/sup>, 3x<sup>3<\/sup>, 2 are the terms where 5x<sup>4<\/sup> is a leading term and 2 is a constant term. The coefficients of the polynomial are 5 and 3.<\/p>\n<p>The degree of a polynomial of 5x<sup>4<\/sup> + 3x<sup>3<\/sup>+ 2 is 4.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"constant-polynomial\"><\/span><strong>Constant Polynomial<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A constant polynomial is the likewise thing as a constant function. That is, a constant polynomial is a function of the form \u201cp(x) = c\u201d for any number c.<\/p>\n<p>Constant polynomials are also known as degree 0 polynomials.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"linear-polynomial\"><\/span>Linear Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A linear polynomial is some polynomial described by an equation of the form p(x) = ax + b where \u2018a\u2019 and \u2018b\u2019 are real numbers and a \u00a00.<\/p>\n<p>For example-<\/p>\n<p>p(x) = 3 x 7 and q(x) = + \u00a0are linear polynomials.<\/p>\n<p>A linear polynomial is similar thing as a degree 1 polynomial.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"quadratic-polynomial\"><\/span>Quadratic Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A Factorization of Algebraic Expression of the quadratic function is a polynomial of degree two (2) or just a quadratic. It is a polynomial function with one or more variables in which the highest-degree exponent is of the second degree.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cubic-polynomial\"><\/span>Cubic Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A cubic polynomial is a polynomial of degree three (3), i.e., the highest term of the variable is three.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"bi-quadratic-polynomial\"><\/span>Bi-Quadratic Polynomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A <strong>Biquadratic <\/strong>Polynomial is a type of quartic polynomial that only has terms of powers 4, 2, and 0.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-6-class-9-maths-exercise-61-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1- What is an example of a quartic polynomial?<\/strong><\/p>\n<p><strong>Ans- <\/strong>A polynomial of degree 4.<\/p>\n<p>Examples-<\/p>\n<ul>\n<li>3a<sup>4<\/sup> \u2013 2a<sup>3<\/sup> + a<sup>2<\/sup> + 8<\/li>\n<li>p<sup>4<\/sup> + 1<\/li>\n<li>m<sup>3<\/sup>n + m<sup>2<\/sup>n<sup>2<\/sup> + mn<\/li>\n<\/ul>\n<p><strong>Ques 2- What is the formula of the cubic polynomial?<\/strong><\/p>\n<p><strong>Ans-<\/strong> The <strong>cubic formula<\/strong> shows us the roots of a <strong>cubic polynomial<\/strong><\/p>\n<p>The formula of Cubic Polynomial is-.<\/p>\n<p><strong>Ques 3- What does a quadratic polynomial look like?<\/strong><\/p>\n<p><strong>Ans-<\/strong> A quadratic polynomial is a second-degree polynomial function.<\/p>\n<p>The general form of a quadratic function is this: f (x) = px<sup>2<\/sup> + qx + r where p, q, and r are real numbers, and a\u2260 0.<\/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 6.1 Solutions is based on the Factorization of Polynomials. A polynomial is an identity in which a unification of constants and variables. It is common to get confused between the degree and coefficient of a polynomial. So, the exponent of the highest degree number in a polynomial &#8230; <a title=\"RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-6-class-9-maths-exercise-6-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 6 Class 9 Maths Exercise 6.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71949,"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\/71948"}],"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=71948"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71948\/revisions"}],"predecessor-version":[{"id":73402,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71948\/revisions\/73402"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71949"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71948"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71948"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71948"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}