Which one of the following statements about polynomials is always true?

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Which one of the following statements about polynomials is always true? (a) If f(a)=0f(a)=0, then (x+a)(x+a) is a factor of f(x)f(x). (b) If (x−a)(x-a) is a factor of f(x)f(x), the remainder when f(x)f(x) is divided by (x−a)(x-a) is aa.},{ (c) If f(a)=0f(a)=0, then (x−a)(x-a) is a factor of f(x)f(x). (d) If (x−a)(x-a) is a factor of f(x)f(x), then f(−a)=0f(-a)=0.

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