
Synthetic Division
1 . (x^4  3x^3 + 3x^2  3x + 6 ) (x  2)
2. (x^5  8x^3 + 24x^2 + 12x + 40) (x + 4)
3 . (x^3  5x^2 + 4x + 7 ) ÷ (x  1)
4. (x^4 + 81) (x  3)
5. (5x^3  12x^2  36x 16) (x + 2)
6 . (12x^4 + 17x^3 + 8x  40) ÷ (x + 2)
7 . (x^3  7x^2 + 8 ) ÷ (x + 1)
8. (x^4  81) (x  3)
9. (x^3  4x^2 + 4x  1) ÷ (x 1)
10. (x^3 + 6x^2 + 3x + 1 ) ÷ (x  2)


Probably
Also, to the OP, you realize that some of your problems are multiplication.
I'm not going to attempt to even solve one, because I have no idea how to do it in LaTex. I'll just give a couple of hints. When you divide by (x  k), the k goes in the "box." And don't forget to put zeros for any "missing" terms. So for #7, for example, the set up would be
Code:
1 1 7 0 8


... because $\displaystyle (x + 1) = [x  (1)]$, and there was no xterm in $\displaystyle x^3  7x^2 + 8$. Now you try.