{"id":1603,"date":"2026-05-19T14:30:45","date_gmt":"2026-05-19T14:30:45","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1603"},"modified":"2026-06-19T11:07:01","modified_gmt":"2026-06-19T05:37:01","slug":"class-10-maths-exercise-2-2-solutions-relationship-between-zeroes-and-coefficients","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/class-10-maths-exercise-2-2-solutions-relationship-between-zeroes-and-coefficients\/","title":{"rendered":"Class 10 Maths Exercise 2.2 Solutions | Relationship Between Zeroes and Coefficients"},"content":{"rendered":"<div class=\"mymoc-top mymoc-entity-placement\" id=\"mymoc-310995302\"><div id=\"mymoc-2328969707\"><a href=\"https:\/\/amzn.to\/3S4CntS\" aria-label=\"Stationeries\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/Stationeries.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/Stationeries.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/Stationeries-300x89.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/Stationeries-1024x304.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/Stationeries-768x228.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1080\" height=\"100\"><\/a><\/div><\/div><div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1603?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">12<\/span><\/div>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">In this post, students can find complete step-by-step solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.2 based on the latest NCERT syllabus. This exercise explains the relationship between zeroes and coefficients of quadratic polynomials in a simple and exam-oriented format.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Exercise 2.2 focuses on finding zeroes and verifying relationships between zeroes and coefficients of polynomials.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Item<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Board<\/td><td>CBSE<\/td><\/tr><tr><td>Class<\/td><td>10<\/td><\/tr><tr><td>Subject<\/td><td>Maths<\/td><\/tr><tr><td>Chapter<\/td><td>Polynomials<\/td><\/tr><tr><td>Exercise<\/td><td>2.2<\/td><\/tr><tr><td>Main Topic<\/td><td>Relationship Between Zeroes &amp; Coefficients<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Zeroes of Polynomial<\/li>\n\n\n\n<li>Quadratic Polynomial<\/li>\n\n\n\n<li>Sum of Zeroes<\/li>\n\n\n\n<li>Product of Zeroes<\/li>\n\n\n\n<li>Relationship Between Zeroes and Coefficients<\/li>\n\n\n\n<li>Factorisation Method<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The chapter explains how zeroes of quadratic polynomials are related to coefficients.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">General Quadratic Polynomial<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>a<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>b<\/mi><mi>x<\/mi><mo>+<\/mo><mi>c<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">ax^2+bx+c<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Sum of Zeroes<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>&alpha;<\/mi><mo>+<\/mo><mi>&beta;<\/mi><mo>=<\/mo><mo>&minus;<\/mo><mfrac><mi>b<\/mi><mi>a<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\alpha+\\beta=-\\frac{b}{a}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Product of Zeroes<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>&alpha;<\/mi><mi>&beta;<\/mi><mo>=<\/mo><mfrac><mi>c<\/mi><mi>a<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\alpha\\beta=\\frac{c}{a}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-step Solutions<\/h1>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and coefficients.<\/h2>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(i) x&sup2; &minus; 2x &minus; 8<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"725\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-599-725x1024.png\" alt=\"\" class=\"wp-image-4834\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-599-725x1024.png 725w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-599-212x300.png 212w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-599-768x1085.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-599.png 1055w\" sizes=\"(max-width: 725px) 100vw, 725px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(ii) x&sup2; &minus; 7x + 12<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"683\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-600-683x1024.png\" alt=\"\" class=\"wp-image-4837\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-600-683x1024.png 683w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-600-200x300.png 200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-600-768x1152.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-600-600x900.png 600w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-600.png 1024w\" sizes=\"(max-width: 683px) 100vw, 683px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(iii) 6x&sup2; &minus; 3 &minus; 7x<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"683\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-601-683x1024.png\" alt=\"\" class=\"wp-image-4841\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-601-683x1024.png 683w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-601-200x300.png 200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-601-768x1152.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-601-600x900.png 600w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-601.png 1024w\" sizes=\"(max-width: 683px) 100vw, 683px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(iv) 4u&sup2; + 8u<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"683\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-602-683x1024.png\" alt=\"\" class=\"wp-image-4845\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-602-683x1024.png 683w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-602-200x300.png 200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-602-768x1152.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-602-600x900.png 600w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-602.png 1024w\" sizes=\"(max-width: 683px) 100vw, 683px\"><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">(v) t&sup2; &minus; 15<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"683\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-603-683x1024.png\" alt=\"\" class=\"wp-image-4847\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-603-683x1024.png 683w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-603-200x300.png 200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-603-768x1152.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-603-600x900.png 600w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-603.png 1024w\" sizes=\"(max-width: 683px) 100vw, 683px\"><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">(vi) 3x&sup2; &minus; x &minus; 4<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"683\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-604-683x1024.png\" alt=\"\" class=\"wp-image-4849\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-604-683x1024.png 683w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-604-200x300.png 200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-604-768x1152.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-604-600x900.png 600w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-604.png 1024w\" sizes=\"(max-width: 683px) 100vw, 683px\"><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.<\/h2>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(i) <\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"859\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-605-859x1024.png\" alt=\"\" class=\"wp-image-4851\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-605-859x1024.png 859w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-605-252x300.png 252w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-605-768x915.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-605.png 1149w\" sizes=\"(max-width: 859px) 100vw, 859px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(ii) <\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"904\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-606-904x1024.png\" alt=\"\" class=\"wp-image-4853\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-606-904x1024.png 904w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-606-265x300.png 265w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-606-768x870.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-606.png 1178w\" sizes=\"(max-width: 904px) 100vw, 904px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">(iii) <\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"899\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-607-899x1024.png\" alt=\"\" class=\"wp-image-4854\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-607-899x1024.png 899w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-607-263x300.png 263w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-607-768x875.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-607.png 1175w\" sizes=\"(max-width: 899px) 100vw, 899px\"><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">(iv) <\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"905\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-608-905x1024.png\" alt=\"\" class=\"wp-image-4855\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-608-905x1024.png 905w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-608-265x300.png 265w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-608-768x869.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-608.png 1179w\" sizes=\"(max-width: 905px) 100vw, 905px\"><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">(v)<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"959\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-609-959x1024.png\" alt=\"\" class=\"wp-image-4856\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-609-959x1024.png 959w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-609-281x300.png 281w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-609-768x820.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-609.png 1214w\" sizes=\"(max-width: 959px) 100vw, 959px\"><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">(vi) <\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"956\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-610-956x1024.png\" alt=\"\" class=\"wp-image-4858\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-610-956x1024.png 956w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-610-280x300.png 280w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-610-768x822.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-610.png 1212w\" sizes=\"(max-width: 956px) 100vw, 956px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Wrong sign in sum formula<\/li>\n\n\n\n<li>Incorrect factorisation<\/li>\n\n\n\n<li>Forgetting to simplify fractions<\/li>\n\n\n\n<li>Confusing product and sum formulas<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Learn formulas properly.<\/li>\n\n\n\n<li>Verify answers carefully.<\/li>\n\n\n\n<li>Always write factorisation steps.<\/li>\n\n\n\n<li>Practice sign handling regularly.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 1<\/h2>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/ncert-class-10-maths-real-number-exercise-1-2-solutions-mymockmate\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">NCERT Class 10 Maths Real Number Exercise 1.2 Solutions |  MyMockMate<\/span><\/a><\/div><p class=\"wp-block-paragraph\">For polynomial ax&sup2; + bx + c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&alpha; + &beta; equals:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. c\/a<br>B. &minus;b\/a<br>C. b\/a<br>D. &minus;c\/a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. &minus;b\/a<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If zeroes are 2 and 3, product is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5<br>B. 6<br>C. 1<br>D. 0<\/p>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/class-10-maths-exercise-2-1-solutions-polynomials-ncert-solutions\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">NCERT Class 10 Maths Exercise 2.1 Solutions | Polynomials<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. 6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A quadratic polynomial has:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 1 zero<br>B. 2 zeroes<br>C. 3 zeroes<br>D. Infinite zeroes<\/p><div class=\"mymoc-middle mymoc-entity-placement\" id=\"mymoc-939124297\"><div id=\"mymoc-3082177934\"><a href=\"https:\/\/amzn.to\/4v5gV6P\" aria-label=\"calculators\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png 1302w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-300x99.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-1024x338.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-768x254.png 768w\" sizes=\"(max-width: 1302px) 100vw, 1302px\" width=\"1302\" height=\"430\"><\/a><\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. 2 zeroes<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 4<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">For x&sup2; &minus; 5x + 6, sum of zeroes is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5<br>B. &minus;5<br>C. 6<br>D. &minus;6<\/p>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/a-triumph-of-surgery-question-answers-for-class-10\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">A Triumph of Surgery Question Answers for Class 10<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A. 5<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">What is the relationship between zeroes and coefficients?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">For ax&sup2; + bx + c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>&alpha;<\/mi><mo>+<\/mo><mi>&beta;<\/mi><mo>=<\/mo><mo>&minus;<\/mo><mfrac><mi>b<\/mi><mi>a<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\alpha+\\beta=-\\frac{b}{a}<\/annotation><\/semantics><\/math>&#8203;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">and<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>&alpha;<\/mi><mi>&beta;<\/mi><mo>=<\/mo><mfrac><mi>c<\/mi><mi>a<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\alpha\\beta=\\frac{c}{a}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Why is Exercise 2.2 important?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">It forms the base for quadratic equations and board exam questions.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Can quadratic polynomials have irrational zeroes?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Yes, quadratic polynomials can have irrational zeroes.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Which method is mostly used in Exercise 2.2?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Factorisation method.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<p class=\"wp-block-paragraph\">&#128216; Improve Your Maths Preparation with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; Practice Chapter-wise Mock Tests<br>&#9989; Solve Important MCQs<br>&#9989; Download NCERT Notes PDF<br>&#9989; Get Instant Performance Analysis<br>&#9989; Prepare Smarter for Board Exams<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start learning now on MyMockMate.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1603?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">12<\/span><\/div><div class=\"mymoc-bottom mymoc-entity-placement\" id=\"mymoc-4058140134\"><div id=\"mymoc-111127079\"><a href=\"https:\/\/amzn.to\/43YYZi3\" aria-label=\"smart-phones\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones-300x76.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones-1024x259.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones-768x194.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1303\" height=\"329\"><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p> 12 Short Intro In this post, students can find complete step-by-step solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.2 based on the&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1604,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":""},"categories":[5,10],"tags":[48,74,44,83,97,92,96,89,91,53,47,98,84,77,95,87,93,94,80],"class_list":["post-1603","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-10","category-maths-class-10","tag-cbse-class-10-maths","tag-cbse-maths-notes","tag-class-10-maths","tag-class-10-maths-chapter-2","tag-exercise-2-2-ncert-solutions","tag-exercise-2-2-solutions","tag-factorisation-method","tag-maths-board-exam-preparation","tag-maths-chapter-2-solutions","tag-ncert-maths-solutions","tag-ncert-solutions","tag-polynomial-formula","tag-polynomial-questions-answers","tag-polynomials","tag-product-of-zeroes","tag-quadratic-polynomial","tag-relationship-between-zeroes-and-coefficients","tag-sum-of-zeroes","tag-zeroes-of-polynomial"],"featured_image_src":"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/Class-10-Maths-Exercise-2.2-Solutions-Relationship-Between-Zeroes-and-Coefficients.png","author_info":{"display_name":"Team Mymockmate","author_link":"https:\/\/mymockmate.com\/notes\/author\/bsm_adm\/"},"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1603","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=1603"}],"version-history":[{"count":9,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1603\/revisions"}],"predecessor-version":[{"id":4860,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1603\/revisions\/4860"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1604"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1603"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1603"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1603"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}