sorry, this is a hard work sheet. I have another little synthetic division.

you have to divide $\displaystyle 3x^5-3x^4+3x^2-3x+10$ by $\displaystyle x+2$. when i did this i got $\displaystyle (3x^5+3x^4+6x^3+16x^2+29x)$+$\displaystyle \frac {68}{3x^5-3x^4+3x^2-3x+10}$

so when i do $\displaystyle ((3x^5+3x^4+6x^3+16x^2+29x)$+$\displaystyle \frac {68}{3x^5-3x^4+3x^2-3x+10}$ times $\displaystyle (x+2)$ the graph is different from $\displaystyle 3x^5-3x^4+3x^2-3x+10$, but only by a little bit. can anyone see where i messed up?

Thank you so much and i appreciate all the help!