Ok, let me start by saying that I know how to do polynomial long divison. At least I thought I did. But, I've encountered one that's giving me trouble.

$\displaystyle (-7x^5-9x^4+5x^3-9x^2-8x+7)/(3x^2+8x+1)$

I'm new to formatting this stuff on the web, but so far, I've gotten $\displaystyle -2x^3$ as my quotient, with $\displaystyle x^5+7x^4+7x^3-9x^2-8x+7$ still left to be divided.

The problem is that I don't see how you can divide $\displaystyle 3x^2$ into $\displaystyle x^5$.

Am I missing something?

I can attempt to format the work I've done thus far, but I'm hoping that won't be necessary. If it is, can anyone give me an example of how to format long division on here?

Thanks.