Which of the following states the Factor Theorem correctly for a polynomial ?

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

Problem

Which of the following states the Factor Theorem correctly for a polynomial p(x)p(x)? (a) If p(a)=0p(a)=0, then (x+a)(x+a) is a factor of p(x)p(x). (b) If p(a)=0p(a)=0, then (x−a)2(x-a)^2 is a factor of p(x)p(x). (c) If p(a)=0p(a)=0, then (x−a)(x-a) is a factor of p(x)p(x). (d) If p(a)=ap(a)=a, then (x−a)(x-a) is a factor of p(x)p(x).

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