# Synthetic division (small part of a bigger problem)

graycolor
(x^3-2)/(x^2+11x+24) can't seem to simplify this I get x+(-11x^2-24x-2)/(x^2+11x+24) that doesn't seem right.

Homework Helper
It's right but why do you still have a quadratic term in the numerator and denominator of the remainder? That's not really a proper remainder, is it? Don't you want x-11+remainder?

graycolor
I've thought about doing synthetic division again with the remainder... would that be right. If I did I would get -11 that would cross out with my +11 and add a remainder.

Homework Helper
I've thought about doing synthetic division again with the remainder... would that be right. If I did I would get -11 that would cross out with my +11 and add a remainder.

"Cross out with +11"? What +11? Yes, the quotient should be x-11 and the remainder a linear polynomial over x^2+11x+24.