In this section we are going to look at a technique for getting a violent sketch of a general polynomial. The only real information which we're going to required is a complete list of all the zeroes (by including multiplicity) for the polynomial.

In this section will either be given the list of zeroes or they will be simple to find.  First we are graphing since the method for determining all the zeroes of a polynomial can be a little long & we don't desire to obscure the details of this section in the mess of determining the zeroes of the polynomial.