Question

Let f(x) be a polynomial function. If f(x) is divided by x-1 , x+1 , x+2 , then remainders are 5 , 3 and 2 respectively. When f(x) is divided by
x^3 + 2x^2 -x -2 , then the remainder is

Answer 1

I believe the remainder R(x) should be one less degree than what f(x) is being divided by.

Answer 2

So I believe R(x)=ax^2+bx+c

Answer 3

You are given R(1)=5, R(-1)=3, and R(-2)=2

Answer 4

This should help you find a,b, and c.