# Polynomials - Part 1

Designer curves used in automotive and roller coaster rides, functions modeling human physiology, models analyzing a business's performance, for example, have polynomials in common. A polynomial is a linear combination of basic power functions x^{k}. Linear and quadratic functions are special polynomials. In this module you will learn about graphing a polynomial by studying its end-behavior and the multiplicities of its zeros.

**Review: **

- Linear and quadratic equations and be able to solve them with ease
- Factoring binomials and quadratic expressions

**Learning Objectives**: By the end of this module you should be able to

- determine domain and range of a polynomial
- identify the degree, leading term, leading coefficient and constant term of a polynomial
- use the graphs of basic power functions to anticipate the graph of a polynomial
- use factoring to find the zeros or x-intercepts of a polynomial
- find y-intercept
- study the end-behavior of a polynomial
- understand and apply
**Intermediate Value Theorem**to a polynomial - make a sign chart for a polynomial using its zeros and their multiplicities
- sketch the graph of a polynomial without a graphing calculator
- identify intervals of increase and decrease for a polynomial