Which one of the following statements is always true for any polynomial and real number ?

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

Problem

Which one of the following statements is always true for any polynomial

p(x)

and real number

a

? (a) If

p(a)=1

, then

x-a

is a factor of

p(x)

. (b) If

p(a)=0

, then

x-a

is a factor of

p(x)

. (c) If

p(a)\neq0

, then

x-a

is a factor of

p(x)

. (d) If

p(a)=0

, then

x+a

is a factor of

p(x)