ABSTRACT
The shear volume of mathematics is daunting, but it becomes less so when you recognize that there are patterns. This chapter is mainly about the properties of polynomials but we shall also use it to illustrate one of those patterns. In particular, we show that the ideas introduced in Chapter 5 for the integers may be extended to polynomials. The key is that there is a remainder theorem for polynomials just as there is for integers. Since all our results in number theory were proved using the remainder theorem, this encourages us to look for similar results for polynomials.
