Let and be a polynomial of degree greater than 2

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

Problem

Let

a \neq 0

and

p(x)

be a polynomial of degree greater than 2, if

p(x)

leaves remainder

a

and

(-a)

when divided respectively by

x+a

and

x-a

, the remainder when

p(x)

is divided by

x^2 - a^2

, is (1)

2x

(2)

-2x

(3)

x

(4)

-x