Which of the following statements is TRUE regarding a polynomial and a real number ?

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

Problem

Which of the following statements is TRUE regarding a polynomial p(x)p(x) and a real number aa? (a) (x+a) is a factor of p(x) if and only if p(a)=0(x+a) \text{ is a factor of } p(x) \text{ if and only if } p(a)=0 (b) (x−a) divides p(x) if and only if p(a)=1(x-a) \text{ divides } p(x) \text{ if and only if } p(a)=1 (c) (x−a) is a factor of p(x) if and only if p(a)=0(x-a) \text{ is a factor of } p(x) \text{ if and only if } p(a)=0 (d) (x−a) is a factor of p(x) if and only if p(−a)=0(x-a) \text{ is a factor of } p(x) \text{ if and only if } p(-a)=0

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