The polynomial is divisible by two distinct linear factors

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

Problem

The polynomial

p(x)=x^{4}-5x^{3}+7x^{2}-5x+6

is divisible by two distinct linear factors. Which pair of factors is it? (a)

(x-1)

and

(x-2)

(b)

(x+2)

and

(x+3)

(c)

(x-2)

and

(x-3)

(d)

(x+2)

and

(x-3)