Polynomial Functions

Polynomial functions are functions whose rule is a polynomial, a sum of terms where each term that can be written on the form $a{x}^b,$ where a is a constant and b is a whole number. In this chapter, various aspects of polynomial functions are studied.
The basic characteristics of the graphs of polynomial functions include increasing and decreasing intervals, relative minimum and maximum and if they have even symmetry, odd symmetry, or neither.
There are connections between the graphs and the rules of polynomial functions. For example the end behavior of the graph of a polynomial can be determined by examining the function rule. Also the zeros of the polynomial can be used to determine the shape a polynomial's graph.
Polynomial expressions can be manipulated in different ways. Rules for how to add, subtract, and multiply polynomials are explored in the chapter. Also, the special case of dividing two polynomials is studied.
Polynomial equations can be solved both graphically and algebraically. Algebraic methods may include factoring of the polynomial.
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Subchapters:

• Sketching Polynomial Functions
• Adding Subtracting and Multiplying Polynomials
• Dividing Polynomials
• Rewriting Polynomials by Factoring
• Solving Polynomial Equations
• Describing Graphs of Polynomial Functions
• Proving Polynomial Identities