{"id":96413,"date":"2022-02-12T13:00:35","date_gmt":"2022-02-12T07:30:35","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=96413"},"modified":"2022-05-19T18:56:48","modified_gmt":"2022-05-19T13:26:48","slug":"ncert-solutions-class-10-maths-ncert-solutions-for-class-10-maths-chapter-2-ex-2-3","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/","title":{"rendered":"NCERT Solutions For Class 10 Maths Chapter 2 Ex 2.3"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/#Ex_23_Class_10_Maths_Question_1\" title=\"Ex 2.3 Class 10 Maths Question 1.\">Ex 2.3 Class 10 Maths Question 1.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/#Ex_23_Class_10_Maths_Question_2\" title=\"Ex 2.3 Class 10 Maths Question 2.\">Ex 2.3 Class 10 Maths Question 2.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/#Check_whether_the_first_polynomial_is_a_factor_of_the_second_polynomial_by_dividing_the_second_polynomial_by_the_first_polynomial_i_t2_-_3_2t4_3t3_-_2t2-_9t_-_12_ii_x2_3x_1_3x4_5x3_-_7x2_2x_2_iii_x2_3x_1_x5_-_4x3_x2_3x_1_Solution_Ex_23_Class_10_Maths_Question_3_Obtain_all_other_zeroes_of_3x4_6x3_-_2x2_-_10x_-_5_if_two_of_its_zeroes_are_and_sqrt_frac_5_3_and_-sqrt_frac_5_3_Solution_Ex_23_Class_10_Maths_Question_4\" title=\"Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial. \n(i) t2 \u2013 3, 2t4 + 3t3 \u2013 2t2\u2013 9t \u2013 12 \n(ii) x2 + 3x + 1, 3x4 + 5x3 \u2013 7x2 + 2x + 2 \n(iii) x2 + 3x + 1, x5 \u2013 4x3 + x2 + 3x + 1 \nSolution: \n \nEx 2.3 Class 10 Maths Question 3. \nObtain all other zeroes of 3x4 + 6x3 \u2013 2x2 \u2013 10x \u2013 5, if two of its zeroes are  and \\(\\sqrt { \\frac { 5 }{ 3 } }\\) and \u2013\\(\\sqrt { \\frac { 5 }{ 3 } }\\) \nSolution: \n \nEx 2.3 Class 10 Maths Question 4.\">Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial. \n(i) t2 \u2013 3, 2t4 + 3t3 \u2013 2t2\u2013 9t \u2013 12 \n(ii) x2 + 3x + 1, 3x4 + 5x3 \u2013 7x2 + 2x + 2 \n(iii) x2 + 3x + 1, x5 \u2013 4x3 + x2 + 3x + 1 \nSolution: \n \nEx 2.3 Class 10 Maths Question 3. \nObtain all other zeroes of 3x4 + 6x3 \u2013 2x2 \u2013 10x \u2013 5, if two of its zeroes are  and \\(\\sqrt { \\frac { 5 }{ 3 } }\\) and \u2013\\(\\sqrt { \\frac { 5 }{ 3 } }\\) \nSolution: \n \nEx 2.3 Class 10 Maths Question 4.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/#On_dividing_x3_-_3x2_x_2bya_polynomial_gx_the_quotient_and_remainder_were_x_-_2_and_-2x_4_respectively_Find_gx_Solution_Ex_23_Class_10_Maths_Question_5\" title=\"On dividing x3 \u2013 3x2 + x + 2bya polynomial g(x), the quotient and remainder were x \u2013 2 and -2x + 4 respectively. Find g(x). \nSolution: \n \nEx 2.3 Class 10 Maths Question 5.\">On dividing x3 \u2013 3x2 + x + 2bya polynomial g(x), the quotient and remainder were x \u2013 2 and -2x + 4 respectively. Find g(x). \nSolution: \n \nEx 2.3 Class 10 Maths Question 5.<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/#NCERT_Solutions_for_Class_10_Maths_Chapter_2_Polynomial_Hindi_Medium_Ex_23\" title=\"NCERT Solutions for Class 10 Maths Chapter 2 Polynomial (Hindi Medium) Ex 2.3\">NCERT Solutions for Class 10 Maths Chapter 2 Polynomial (Hindi Medium) Ex 2.3<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Ex_23_Class_10_Maths_Question_1\"><\/span><span style=\"color: #0000ff; font-size: 14pt;\">Ex 2.3 Class 10 Maths Question 1.<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:<\/p>\n<p>(i) p(x) = x<sup>3<\/sup> \u2013 3x<sup>2<\/sup> + 5x \u2013 3, g(x) = x<sup>2<\/sup> \u2013 2<br \/>\n(ii) p(x) = x<sup>4<\/sup> \u2013 3x<sup>2<\/sup> + 4x + 5, g(x) = x<sup>2<\/sup> + 1 \u2013 x<br \/>\n(iii) p(x) = x<sup>4<\/sup>\u2013 5x + 6, g(x) = 2 \u2013 x<sup>2<br \/>\n<\/sup><\/p>\n<p><sup>Solution:<\/sup><\/p>\n<p><sup><img loading=\"lazy\" class=\"alignnone size-full wp-image-55149\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomials-Ex-2.3-Q1.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.3 Q1\" width=\"369\" height=\"828\" \/><\/sup><\/p>\n<h2><span style=\"color: #0000ff; font-size: 14pt;\">Ex 2.3 Class 10 Maths Question 2.<\/span><\/h2>\n<h2>Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.<br \/>\n(i) t<sup>2<\/sup> \u2013 3, 2t<sup>4<\/sup> + 3t<sup>3<\/sup> \u2013 2t<sup>2<\/sup>\u2013 9t \u2013 12<br \/>\n(ii) x<sup>2<\/sup> + 3x + 1, 3x<sup>4<\/sup> + 5x<sup>3<\/sup> \u2013 7x<sup>2<\/sup> + 2x + 2<br \/>\n(iii) x<sup>2<\/sup> + 3x + 1, x<sup>5<\/sup> \u2013 4x<sup>3 <\/sup>+ x<sup>2<\/sup> + 3x + 1<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55150\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomials-Ex-2.3-Q2.png\" alt=\"Polynomials class 10 Ex 2.3 Maths NCERT Solutions Q2\" width=\"424\" height=\"1019\" \/><br \/>\nEx 2.3 Class 10 Maths Question 3.<br \/>\nObtain all other zeroes of 3x<sup>4<\/sup> + 6x<sup>3<\/sup> \u2013 2x<sup>2<\/sup> \u2013 10x \u2013 5, if two of its zeroes are  and \\(\\sqrt { \\frac { 5 }{ 3 } }\\) and \u2013\\(\\sqrt { \\frac { 5 }{ 3 } }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55151\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomials-Ex-2.3-Q3.png\" alt=\"Polynomials Class 10 Chapter 2 Maths NCERT Solutions Ex 2.3 Q3\" width=\"766\" height=\"658\" \/><br \/>\n<span style=\"color: #0000ff; font-size: 14pt;\">Ex 2.3 Class 10 Maths Question 4.<\/span><\/h2>\n<h2>On dividing x<sup>3 <\/sup>\u2013 3x<sup>2<\/sup> + x + 2bya polynomial g(x), the quotient and remainder were x \u2013 2 and -2x + 4 respectively. Find g(x).<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55152\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomials-Ex-2.3-Q4.png\" alt=\"Polynomials NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.3 Q4\" width=\"685\" height=\"369\" \/><br \/>\n<span style=\"font-size: 14pt;\">Ex 2.3 Class 10 Maths Question 5.<\/span><\/h2>\n<p>Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and:<br \/>\n(i) deg p(x) = deg q(x)<br \/>\n(ii) deg q(x) = deg r(x)<br \/>\n(iii) deg r(x) = 0<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55153\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomials-Ex-2.3-Q5.png\" alt=\"Polynomials Class 10 Maths NCERT Solutions Chapter 2 Ex 2.3 Q5\" width=\"249\" height=\"294\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Chapter_2_Polynomial_Hindi_Medium_Ex_23\"><\/span>NCERT Solutions for Class 10 Maths Chapter 2 Polynomial (Hindi Medium) Ex 2.3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-87854\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-1.png\" alt=\"NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3\" width=\"524\" height=\"654\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87856\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-2.png\" alt=\"NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3 in english\" width=\"526\" height=\"714\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87857\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-3.png\" alt=\"NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3 English medium\" width=\"532\" height=\"626\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87858\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-4.png\" alt=\"Class 10 maths chapter 2 exercise 2.3 in English\" width=\"534\" height=\"699\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87859\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-5.png\" alt=\"Class 10 maths chapter 2 exercise 2.3 English medium PDF\" width=\"528\" height=\"712\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87860\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-6.png\" alt=\"NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3 in PDF form\" width=\"504\" height=\"719\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87861\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-7.png\" alt=\"Class 10 maths chapter 2 exercise 2.3 in Hindi\" width=\"543\" height=\"532\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87862\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-8.png\" alt=\"Class 10 maths chapter 2 exercise 2.3 Hindi medium\" width=\"523\" height=\"686\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87863\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-9.png\" alt=\"Class 10 maths chapter 2 exercise 2.3 for UP Board\" width=\"530\" height=\"705\" \/><br \/>\n<img loading=\"lazy\" class=\"aligncenter size-full wp-image-87864\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-10-Maths-Chapter-2-Polynomial-Hindi-Medium-Ex-2.3-10.png\" alt=\"Class 10 maths chapter 2 exercise 2.3 for 2018-19\" width=\"505\" height=\"337\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ex 2.3 Class 10 Maths Question 1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"class 10 maths chapter 2 exercise 2.3","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get NCERT Solutions For Class 10 Maths Chapter 2 Ex 2.3 on infinitylearn.com. class 10 maths chapter 2 exercise 2.3","custom_permalink":"ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/"},"categories":[13,54,67],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions For Class 10 Maths Chapter 2 Ex 2.3 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Get NCERT Solutions For Class 10 Maths Chapter 2 Ex 2.3 on infinitylearn.com. class 10 maths chapter 2 exercise 2.3\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-10\/maths\/ncert-solutions-for-class-10-maths-chapter-2-ex-2-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions For Class 10 Maths Chapter 2 Ex 2.3 - 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