The number of polynomials having zeroes as –2 and 5 is

(A) 1                               (B) 2

(C) 3                               (D) more than 3

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Question 6 The number of polynomials having zeroes as –2 and 5 is (A) 1 (B) 2 (C) 3 (D) more than 3 The required quadratic polynomial is (x − (−2)) (x − 5) = (x + 2) (x − 5) = x (x − 5) + 2 (x − 5) = x2 − 5x + 2x − 10 = x2 − 3x − 10 But, we can multiply any constant to this polynomial, And that polynomial would have the same zeroes ∴ There are infinite such polynomials So, the correct answer is (D) ∴ There are infinite such polynomials So, the correct answer is (D)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.