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For 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.
Sum of the zeroes = 21/8 Product of the zeroes = 5/16 P(x) = x2 - (sum of the zeroes) + (product of the zeroes) = x2 - 21x/8 + 5/16 = 16x2 - 42x + 5 By splitting the middle term 16x2 - 42x + 5 = 0 16x2 - (2x + 40x) + 5 = 0 16x2 - 2x - 40x + 5 = 0 2x (8x - 1) - 5(8x - 1) = 0 (8x - 1)(2x - 5) = 0 ⇒ x = 1/8, 5/2 Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. Categories
Related Answer For 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 factorisation. <br> `(21)/(8),(5)/(16)` Solution Let the zeroes be à and ß Sum of zeroes = 21/8 => à + ß = 21/8 Product of zeroes = 5/16 => as = 5/16 The required quadratic polynomial is → k {x² - (à+ß)x + aß} → k {x² - (21/8)x+5/16} → k {x²-42x/16 + 5/16} Put k = 16 → 16x²-42x+5 RAre quadratic polynomial the product and sum of whose zeroes are 5 and 8 respectively is?The correct answer is: k [x²- 8x +5]
What is the quadratic polynomial whose sum is 5 and product of zeroes is 2?∴ quadratic polynomial = x2−5x−2.
What is the quadratic polynomial whose sum and product of the zeros are √ 2 and 1 3?NCERT Solutions Class 10 Mathematics Solutions for Polynomials - Exercise 2.2 in Chapter 2 - Polynomials. Find a quadratic polynomial of √2, 1/3 as the sum and product of its zeroes respectively. Thus, 3x2-3√2x+1 is the quadratic polynomial.
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