Question

Find the remainder of the division problem shown below:

(x^4+x^3-3x-3) / (x+2)

Answer 1

synthetic division should work nicely

Answer 2

or if you just need the remainder, and don't feel like doing the synthetic division, take
\[x^4+x^3-3x-3\] and replace \(x\) by \(-2\)
but synthetic division is easier