The cubic polynomial is divisible by and and leaves a remainder of when divided by

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The cubic polynomial

p(x)=x^{3}+ax^{2}+bx+c

is divisible by

x-2

and

x-3

and leaves a remainder of

4

when divided by

x-1

. Find the value of

a

. (a)

-6

(b)

4

(c)

-4

(d)

-2