Live polynomial function graphing examples on WebGraphing.com: linear, quadratic, cubic, and higher degree polynomials. Start with these examples and continue graphing from here.
The site gives the definition of a ploynomial. It has many examples graphically on what the functions could possibially look like. It also shows how to fing the exponents and leading coeffecient. At the bottom there is a section where it ask many question and you can type in your answer.
This shows how to divide two polymonials. It goes through many examples and it has problems to try with answers. It also shows how to use the factor theorem.