First, please fix your notation. I think you mean: (x^3+x^2+x+1)/(x^2+9). Remember studying the Order of Operations? It makes a difference.

Nope. Both those '10's should be '8's. Since you didn't show your work, it's a little tough to spot your error. Just try it again and be mroe careful.After doing this I got x - 1 - (10x+10)/(x^2+9)

It may help for you to notice that the numerator can be factored, but probably not. You should keep your eyes open for interesting things.