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

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

The polynomial

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

leaves a remainder of

4

when divided by each of

x-1

and

x+2

, and is exactly divisible by

x+1

. Find the values of

a

b

and

c