Question

What is the remainder when `(-2x^4 - 6x^2 + 3x + 1) div ( x + 1)`?

Answer 1

`-10`

Explanation:

From the remainder theorem theory, we may simply find the required remainder by evaluating `f(-1)` in `(f(x)=-2x^4-6x^2+3x+1`.

Doing so yields

`f(-1)=-2(-1)^4-6(-1)^2+3(-1)+1`

`=-2-6-3+1`

`=-10`.