Question

use the remainder theorem to find the remainder when 2x^3-x^2-3x+7 is divided by x+2 state whether the binomial is a factor of the polynomial

Answer 1

The remainder theorem:
The remainder when f(x) is divided by (x-a) is f(a).

Answer 2

The factor theorem:
If f(a)=0, (x-a) is a factor of f(x).