Question

Divide -3x3 - 2x2 - x - 2 by x – 2?

Answer 1

You can use factor theorem to work out the remainder
f(x)=-3x3-2x2-x-2
f(2)=-3(2)3-2(2)2-(2)-2 = -24-8-2-2 = -36
The remainder is -36
You can use long division:
That shows that the answer is -3x2-8x-17 with remainder -36