Question

Find the remainder of the division problem shown below
(x^4+x^3-3x-3)/(x+2)

Answer 1

can you solve x+2=0?

Answer 2

The remainder theorem says if you have
\[\frac{P(x)}{x+r} \text{ then the remainder is } P(-r)\]

Answer 3

So then x+2=0 results in x=-2

Answer 4

does synthetic division work in this case?

Answer 5

yes to that
but all you have to do now is evaluate
(-2)^4+(-2)^3-3(-2)-3