# A review of polynomial functions

- Author:
- Charlie Barnes, GeoGebra Team

- Topic:
- Functions, Polynomial Functions

A

**rational function**is a function that can be expressed in the form , where is a polynomial and is a non-zero polynomial. A**polynomial function**is a function of the form where each of the s are real numbers and is a non-negative integer. Before we talk too much about rational functions, it's important that you're first comfortable with polynomial functions.## Enter an example of a polynomial function below.

Let's make sure you understand the notation above. Suppose is a polynomial. Which of the following symbols represents 's leading coefficient?

If is a polynomial, which of the following symbols represents 's degree?

If is a polynomial, which of the following symbols represents 's -intercept?

If is a polynomial, what is the maximum number of real zeros can have?

## Give an example of such a polynomial below.

If is a polynomial, what is the minimum number of real zeros can have?

## Give an example of such a polynomial below.

If you're asked to find the real zeros of a given polynomial , what would you do?