Let p(x)=2x^ 3 +kx^ 2 -5x+1

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

Problem

Let

p(x)=2x^{3}+kx^{2}-5x+1.

The polynomial leaves the same remainder when divided by

(x-1)

and by

(x+2)

. Determine

k

. (a)

-1

(b)

2

(c)

\frac{5}{4}

(d)

1