{"id":10011,"date":"2019-06-14T01:59:14","date_gmt":"2019-06-13T20:29:14","guid":{"rendered":"https:\/\/www.cbselabs.com\/?page_id=10011"},"modified":"2021-09-18T15:33:01","modified_gmt":"2021-09-18T10:03:01","slug":"rd-sharma-class-10-solutions-chapter-2-polynomials","status":"publish","type":"page","link":"https:\/\/www.cbselabs.com\/rd-sharma-class-10-solutions-chapter-2-polynomials\/","title":{"rendered":"RD Sharma Class 10th Solutions Chapter 2 Polynomials"},"content":{"rendered":"

RD Sharma Class 10 Solutions Chapter 2 Polynomials<\/span><\/h2>\n

RD Sharma Class 10 Solutions Polynomials Exercise 2.1<\/h3>\n

Question 1.
\nFind the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their co-efficients :
\n\"rd-sharma-class-10-solutions-chapter-2-polynomials-ex-2-1-1\"
\nSolution:
\n(i) f(x) = x2<\/sup>\u00a0– 2x – 8
\n\"RD
\n\"Polynomials
\n\"RD
\n\"RD
\n\"RD
\n\"RD
\n\"Learncbse.In
\n\"Class
\n\"RD
\n\"RD
\n\"RD
\n\"RD
\n\"RD
\n\"Class
\n\"RD
\n\"RD
\n\"RD<\/p>\n

Question 2.
\nFor each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.
\n\"Maths
\nSolution:
\n(i) Given that, sum of zeroes (S) = – \\(\\frac { 8 }{ 3 }\\)
\nand product of zeroes (P) = \\(\\frac { 4 }{ 3 }\\)
\nRequired quadratic expression,
\n\"10th
\n\"RD
\n\"RD<\/p>\n

Question 3.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – 5x + 4, find the value of \\(\\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta } -2\\alpha \\beta\\).
\nSolution:
\n\"Solution<\/p>\n

Question 4.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial p(y) = 5y2<\/sup> – 7y + 1, find the value of \\(\\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta }\\)
\nSolution:
\n\"RD
\n\"RD<\/p>\n

Question 5.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – x – 4, find the value of \\(\\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta } -\\alpha \\beta\\)
\nSolution:
\n\"RD<\/p>\n

Question 6.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> + x – 2, find the value of \\(\\frac { 1 }{ \\alpha } -\\frac { 1 }{ \\beta }\\)
\nSolution:
\n\"RD
\n\"Answers<\/p>\n

Question 7.
\nIf one zero of the quadratic polynomial f(x) = 4x2<\/sup> – 8kx – 9 is negative of the other, find the value of k.
\nSolution:
\n\"Class<\/p>\n

Question 8.
\nIf the sum of the zeros of the quadratic polynomial f(t) = kt2<\/sup> + 2t + 3k is equal to their product, find the value of k.
\nSolution:
\n\"RD<\/p>\n

Question 9.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial p(x) = 4x2<\/sup> – 5x – 1, find the value of \u03b12<\/sup>\u03b2 + \u03b1\u03b22<\/sup>.
\nSolution:
\n\"RD<\/p>\n

Question 10.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(t) = t2<\/sup> – 4t + 3, find the value of \u03b14<\/sup>\u03b23<\/sup> + \u03b13<\/sup>\u03b24<\/sup>.
\nSolution:
\n\"Polynomials<\/p>\n

Question 11.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f (x) = 6x4<\/sup> + x – 2, find the value of \\(\\frac { \\alpha }{ \\beta } +\\frac { \\beta }{ \\alpha }\\)
\nSolution:
\n\"RD
\n\"RD<\/p>\n

Question 12.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial p(s) = 3s2<\/sup> – 6s + 4, find the value of \\(\\frac { \\alpha }{ \\beta } +\\frac { \\beta }{ \\alpha } +2\\left( \\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta } \\right) +3\\alpha \\beta\\)
\nSolution:
\n\"RD
\n\"RD<\/p>\n

Question 13.
\nIf the squared difference of the zeros of the quadratic polynomial f(x) = x2<\/sup> + px + 45 is equal to 144, find the value of p
\nSolution:
\n\"Learncbse.In<\/p>\n

Question 14.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – px + q, prove that:
\n\"Class
\nSolution:
\n\"RD
\n\"RD<\/p>\n

Question 15.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – p(x + 1) – c, show that (\u03b1 + 1) (\u03b2 + 1) = 1 – c.
\nSolution:
\n\"RD<\/p>\n

Question 16.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial such that \u03b1 + \u03b2 = 24 and \u03b1 – \u03b2 = 8, find a quadratic polynomial having \u03b1 and \u03b2 as its zeros.
\nSolution:
\n\"RD<\/p>\n

Question 17.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – 1, find a quadratic polynomial whose zeros are \\(\\frac { 2\\alpha }{ \\beta }\\) and \\(\\frac { 2\\beta }{ \\alpha }\\)
\nSolution:
\n\"RD
\n\"Class<\/p>\n

Question 18.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – 3x – 2, find a quadratic polynomial whose zeros are \\(\\frac { 1 }{ 2\\alpha +\\beta }\\) and \\(\\frac { 1 }{ 2\\beta +\\alpha }\\)
\nSolution:
\n\"RD
\n\"RD<\/p>\n

Question 19.
\nIf \u03b1 and \u03b2 are the zeroes of the polynomial f(x) = x2<\/sup> + px + q, form a polynomial whose zeros are (\u03b1 + \u03b2)2<\/sup> and (\u03b1 – \u03b2)2<\/sup>.
\nSolution:
\n\"RD
\n\"Maths<\/p>\n

Question 20.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x2<\/sup> – 2x + 3, find a polynomial whose roots are :
\n(i) \u03b1 + 2, \u03b2 + 2
\n(ii) \\(\\frac { \\alpha -1 }{ \\alpha +1 } ,\\frac { \\beta -1 }{ \\beta +1 }\\)
\nSolution:
\n\"10th
\n\"RD
\n\"RD<\/p>\n

Question 21.
\nIf \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = ax2<\/sup> + bx + c, then evaluate :
\n\"Solution
\n\"RD
\nSolution:
\n\"RD
\n\"RD
\n\"RD
\n\"Answers
\n\"Class
\n\"RD
\n\"RD
\n\"Polynomials
\n\"RD<\/p>\n

RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.1<\/p>\n

\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-1\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-2\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-3\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-4\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-5\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-6\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-7\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-8\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-9\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-10\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-11\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-12\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-13\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-14\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-15\"<\/p>\n

RD Sharma Class 10th Solutions Chapter 2 Polynomials Ex 2.2<\/span><\/h3>\n

\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-16\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-17\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-18\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.1-Q-19\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-1\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-2\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-3\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-4\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-5\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-6\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-7\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-8\"
\n\"RD-Sharma-Class-10-Solutions-Chapter-2-Polynomials-Ex-2.3-Q-9\"<\/p>\n

RD Sharma Class 10 Solutions<\/a><\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

RD Sharma Class 10 Solutions Chapter 2 Polynomials RD Sharma Class 10 Solutions Polynomials Exercise 2.1 Question 1. Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their co-efficients : Solution: (i) f(x) = x2\u00a0– 2x – 8 Question 2. For each of the following, find …<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"spay_email":""},"yoast_head":"\nRD Sharma Class 10 Solutions Chapter 2 Polynomials<\/title>\n<meta name=\"description\" content=\"RD Sharma Class 10 Solutions Chapter 2 Polynomials\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.cbselabs.com\/rd-sharma-class-10-solutions-chapter-2-polynomials\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"RD Sharma Class 10th Solutions Chapter 2 Polynomials\" \/>\n<meta property=\"og:description\" content=\"RD Sharma Class 10 Solutions Chapter 2 Polynomials\" \/>\n<meta property=\"og:url\" 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