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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  1. Chapter 2 Class 10 Polynomials (Term 1)
  2. Serial order wise

Transcript

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)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.