Let . Given that and are factors of and that the remainder when is divided by is ,…

MATHEMATICS · Single correct · GCSE · Further Mathematics · Algebra and Proof · Algebra and Proof

Problem

Let

f(x)=2x^{4}+kx^{3}+mx^{2}+nx-8

. Given that

x=1

and

x=2

are factors of

f(x)

and that the remainder when

f(x)

is divided by

x+3

40

, determine the value of

k

. (a)

2

(b)

-2

(c)

4

(d)

-4