Help! What is the remainder when the following polynomials are divided?

Question

x³-2x²+4x-8/x+2? 

Answer 1

x³ - 2x²+4x-8 |x+2= x²+4x-4

x³+2x²

      4x²+4x-8

      4x²+8x

            -4x-8

            -4x-8

            ¯¯¯¯

                0

So,

(x³-2x²+4x-8)/(x+2)=x²+4x-4