{"id":40239,"date":"2022-07-04T12:00:31","date_gmt":"2022-07-04T06:30:31","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=40239"},"modified":"2022-07-04T12:14:39","modified_gmt":"2022-07-04T06:44:39","slug":"polynomials-cbse-notes-class-10-maths","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/polynomials-cbse-notes-class-10-maths\/","title":{"rendered":"Polynomials Class 10 Notes Maths Chapter 2"},"content":{"rendered":"<p>CBSE Class 10 Maths Notes Chapter 2 Polynomials Pdf free download is part of <a href=\"https:\/\/www.cbselabs.com\/cbse-notes-class-10-maths\/\">Class 10 Maths Notes<\/a> for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 2 Polynomials. According to new CBSE Exam Pattern,\u00a0<a href=\"https:\/\/www.cbselabs.com\/mcq-questions-for-class-10-maths-with-answers\/\">MCQ Questions for Class 10 Maths<\/a> Carries 20 Marks. https:\/\/www.cbselabs.com\/polynomials-cbse-notes-class-10-maths\/<\/p>\n<h2>CBSE Class 10 Maths Notes Chapter 2 Polynomials<\/h2>\n<ul>\n<li>&#8220;Polynomial&#8221; comes from the word &#8216;Poly&#8217; (Meaning Many) and \u2018nomial&#8217; (in this case meaning Term)-so it means many terms.<\/li>\n<li>A polynomial is made up of terms that are only added, subtracted or multiplied.<\/li>\n<li>A quadratic polynomial in x with real coefficients is of the form ax\u00b2 + bx + c, where a, b, c are real numbers with a \u2260 0.<\/li>\n<li>Degree &#8211; The highest exponent of the variable in the polynomial is called the degree of polynomial. Example: 3x<sup>3<\/sup> + 4, here degree = 3.<\/li>\n<li>Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomial respectively.<\/li>\n<li>A polynomial can have terms which have Constants like 3, -20, etc., Variables like x and y and Exponents like 2 in y\u00b2.<\/li>\n<li>These can be combined using addition, subtraction and multiplication but NOT DIVISION.<\/li>\n<li>The zeroes of a polynomial p(x) are precisely the x-coordinates of the points, where the graph of y = p(x) intersects the x-axis.<\/li>\n<\/ul>\n<p>If \u03b1 and \u03b2 are the zeroes of the quadratic polynomial ax\u00b2 + bx + c, then<br \/>\n\\(sum\\quad of\\quad zeros,\\alpha +\\beta =\\frac { -b }{ a } =\\frac { -coefficient\\quad of\\quad x }{ coefficient\\quad of\\quad { x }^{ 2 } } \\)<br \/>\n\\(product\\quad of\\quad zeros,\\alpha \\beta =\\frac { c }{ a } =\\frac { constant\\quad term }{ coefficient\\quad of\\quad { x }^{ 2 } } \\)<\/p>\n<p>If \u03b1, \u03b2, \u03b3 are the zeroes of the cubic polynomial ax<sup>3<\/sup> + bx<sup>2<\/sup> + cx + d = 0, then<br \/>\n\\(\\alpha +\\beta +\\gamma =\\frac { -b }{ a } =\\frac { -coefficient\\quad of\\quad { x }^{ 2 } }{ coefficient\\quad of\\quad { x }^{ 3 } } \\)<br \/>\n\\(\\alpha \\beta +\\beta \\gamma +\\gamma \\alpha =\\frac { c }{ a } =\\frac { coefficient\\quad of\\quad { x } }{ coefficient\\quad of\\quad { x }^{ 3 } } \\)<br \/>\n\\(\\alpha \\beta \\gamma =\\frac { -d }{ a } =\\frac { -constant\\quad term }{ coefficient\\quad of\\quad { x }^{ 3 } } \\)<\/p>\n<p>Zeroes (\u03b1, \u03b2, \u03b3) follow the rules of algebraic identities, i.e.,<br \/>\n(\u03b1 + \u03b2)\u00b2 = \u03b1\u00b2 + \u03b2\u00b2 + 2\u03b1\u03b2<br \/>\n\u2234(\u03b1\u00b2 + \u03b2\u00b2) = (\u03b1 + \u03b2)\u00b2 &#8211; 2\u03b1\u03b2<\/p>\n<p>Degree of a <a href=\"https:\/\/factorpolynomials.com\/\">Polynomial Calculator<\/a> is a free online tool that helps students to calculate the polynomial expression degree value in no time with show work.<\/p>\n<p><strong>Polynomials Class 10 Notes Chapter 2<\/strong><\/p>\n<p><strong>DIVISION ALGORITHM:<\/strong><br \/>\nIf p(x) and g(x) are any two polynomials with g(x) \u2260 0, then<br \/>\np(x) = g(x) \u00d7 q(x) + r(x)<br \/>\nDividend = Divisor x Quotient + Remainder<\/p>\n<p><strong>Remember this!<\/strong><\/p>\n<ul>\n<li>If r (x) = 0, then g (x) is a factor of p (x).<\/li>\n<li>If r (x) \u2260 0, then we can subtract r (x) from p (x) and then the new polynomial formed is a factor of g(x) and q(x).<\/li>\n<\/ul>\n<div class=\"featured-snippet\">\n<p><strong>Polynomial Class 10 Notes Chapter 2<\/strong><\/p>\n<h3>Class 10 Maths Notes<\/h3>\n<ul>\n<li>Chapter 1 <a title=\"Real Numbers Class 10 Notes Maths Chapter 1\" href=\"https:\/\/www.cbselabs.com\/real-numbers-cbse-notes-class-10-maths\/\">Real Numbers Class 10 Notes<\/a><\/li>\n<li>Chapter 2 <a title=\"Polynomials Class 10 Notes Maths Chapter 2\" href=\"https:\/\/www.cbselabs.com\/polynomials-cbse-notes-class-10-maths\/\">Polynomials\u00a0Class 10 Notes<\/a><\/li>\n<li>Chapter 3 <a title=\"Pair of Linear equations in Two Variables Class 10 Notes Maths Chapter 3\" href=\"https:\/\/www.cbselabs.com\/pair-of-linear-equations-in-two-variables-class-10-notes\/\">Pair of Linear equations in Two Variables Class 10 Notes<\/a><\/li>\n<li>Chapter 4 <a title=\"Quadratic Equations Class 10 Notes Maths Chapter 4\" href=\"https:\/\/www.cbselabs.com\/quadratic-equations-class-10-notes\/\">Quadratic Equations Class 10 Notes<\/a><\/li>\n<li>Chapter 5 <a title=\"Arithmetic Progressions Class 10 Notes Maths Chapter 5\" href=\"https:\/\/www.cbselabs.com\/arithmetic-progressions-class-10-notes\/\">Arithmetic Progressions Class 10 Notes<\/a><\/li>\n<li>Chapter 6 <a title=\"Triangles Class 10 Notes Maths Chapter 6\" href=\"https:\/\/www.cbselabs.com\/triangles-class-10-notes\/\">Triangles Class 10 Notes<\/a><\/li>\n<li>Chapter 7 <a title=\"Coordinate Geometry Class 10 Notes Maths Chapter 7\" href=\"https:\/\/www.cbselabs.com\/coordinate-geometry-class-10-notes\/\">Coordinate Geometry Class 10 Notes<\/a><\/li>\n<li>Chapter 8 <a title=\"Introduction to Trigonometry Class 10 Notes Maths Chapter 8\" href=\"https:\/\/www.cbselabs.com\/introduction-to-trigonometry-class-10-notes\/\">Introduction to Trigonometry Class 10 Notes<\/a><\/li>\n<li>Chapter 9 <a title=\"Some Applications of Trigonometry Class 10 Notes Maths Chapter 9\" href=\"https:\/\/www.cbselabs.com\/some-applications-of-trigonometry-class-10-notes\/\">Some Applications of\u00a0Trigonometry Class 10 Notes<\/a><\/li>\n<li>Chapter 10 <a title=\"Circles Class 10 Notes Maths Chapter 10\" href=\"https:\/\/www.cbselabs.com\/circles-class-10-notes\/\">Circles Class 10 Notes<\/a><\/li>\n<li>Chapter 11 <a title=\"Constructions Class 10 Notes Maths Chapter 11\" href=\"https:\/\/www.cbselabs.com\/constructions-class-10-notes\/\">Constructions Class 10 Notes<\/a><\/li>\n<li>Chapter 12 <a title=\"Areas related to Circles Class 10 Notes Maths Chapter 12\" href=\"https:\/\/www.cbselabs.com\/areas-related-to-circles-class-10-notes\/\">Areas related to Circles Class 10 Notes<\/a><\/li>\n<li>Chapter 13 <a title=\"Surface Areas and Volumes Class 10 Notes Maths Chapter 13\" href=\"https:\/\/www.cbselabs.com\/surface-areas-and-volumes-class-10-notes\/\">Surface Areas and Volumes Class 10 Notes<\/a><\/li>\n<li>Chapter 14 <a title=\"Statistics Class 10 Notes Maths Chapter 14\" href=\"https:\/\/www.cbselabs.com\/statistics-class-10-notes\/\">Statistics Class 10 Notes<\/a><\/li>\n<li>Chapter 15 <a title=\"Probability Class 10 Notes Maths Chapter 15\" href=\"https:\/\/www.cbselabs.com\/probability-class-10-notes\/\">Probability Class 10 Notes<\/a><\/li>\n<\/ul>\n<\/div>\n<h5><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-2\/\">NCERT Solutions<\/a><\/h5>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Class 10 Maths Notes Chapter 2 Polynomials Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 2 Polynomials. According to new CBSE Exam Pattern,\u00a0MCQ Questions for Class 10 Maths Carries 20 Marks. https:\/\/www.cbselabs.com\/polynomials-cbse-notes-class-10-maths\/ CBSE Class 10 Maths Notes Chapter 2 &hellip;<\/p>\n","protected":false},"author":27,"featured_media":164638,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Polynomials Class 10 Notes Maths Chapter 2 - CBSE Labs<\/title>\n<meta name=\"description\" content=\"CBSE Class 10 Maths Notes Chapter 2 Polynomials Pdf free download is part of Class 10 Maths Notes for Quick Revision. 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