How do you simplify #(5x^4-13x^3+21x^2+x+10)/(5x-3)#?
Try long division instead of synthetic division.
I decided to do this one on paper so that it is easier to explain.
Long division is just like regular long division except that there are variables and numbers.
Here the 16 remainder at the end means that the last term is
Thus the final equation would be
For more information on polynomial long division, check out this site: