A review of 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?

Select all that apply

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

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

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

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

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

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