Determine the value of for which the polynomial is exactly divisible by .

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

Problem

Determine the value of

k

for which the polynomial

f(x)=3x^{3}+kx^{2}-4x-12

is exactly divisible by

(x-2)

. (a)

k=1

(b)

k=-5

(c)

k=-1

(d)

k=7