Learn how to use the tools needed to graph a Polynomial function in standard form. The tools we will use to help us graph are end behavior, finding the zeros by factoring synthetic division as well as identify the multiplicity of each zero.
The end behavior of the polynomial can be determined by looking at the degree and leading coefficient. Once we know where the graph is going we can find the x-intercepts to obtain a general shape of the graph. We will use the multiplicity the power of each factor to determine if the graph crosses or bounces at each intercept. We use all of this information to sketch the graph.