The polynomial leaves a remainder of when divided by and a remainder of when divided by

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

Problem

The polynomial

f(x)=2x^{3}+kx^{2}+mx+6

leaves a remainder of

4

when divided by

(x-1)

and a remainder of

-2

when divided by

(x+2)

. Which ordered pair

(k,m)

satisfies these conditions? (a)

(-8,4)

(b)

(2,0)

(c)

(0,-4)

(d)

(4,-8)