# 5.1 Polynomials and Polynomial Functions - PowerPoint PPT Presentation

1 / 6

5.1 Polynomials and Polynomial Functions. A polynomial in one variable (say, x ) is the sum of one or more terms of the form ax n where a is a real number and n is a whole number.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

5.1 Polynomials and Polynomial Functions

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

## 5.1 Polynomials and Polynomial Functions

• A polynomial in one variable (say, x) is the sum of one or more terms of the form axn where a is a real number and n is a whole number.

• A polynomial in several variables (say x, y, z) is the sum of one or more terms of the form axmynzp, where a is a real number and m, n, p are whole numbers.

### Degree of a Monomial…what do you think it is?

• If a 0, the degree of axnis n.

• The degree of a monomial containing several variables is the sum of the exponents on those variables.

### Degree of a Polynomial

• The degree of a polynomial is:

• the degree of the monomial in it w/ the largest degree

• A polynomial function is defined as

• y = f (x) = P (x)

• Evaluating a polynomial function