In the top part of the image, I illustrate synthetic division. I get the numbers by writing the -2 on the left since we are dividing by

I would like to eventually make a little interactive program to go through the steps of synthetic division and long division by hand. If you subscribe to my RSS feed at http://www.lsquaredmath.us you can be notified when I make new programs.

For the long division problem, you start off with the *x*+2√(*x*^{3}+3*x*^{2}+3*x*-2)*x*^{2} first since *x*×*x*^{2} matches the first term of the polynomial p(*x*). Then you multiply the *x*^{2} by the *x*+2 to get the *x*^{3}+2*x*^{2}. Subtract to get the next line and repeat the process until you get to the end.

Note the coefficients of the answers to both methods match.