Math Example | Polynomial Concepts | Graphs of Polynomial Functions | Example 05

This is part of a collection of math examples that focus on polynomial concepts. This includes adding, subtracting, multiplying, and dividing polynomials, along with polynomial properties.

—PRESS PREVIEW TO SEE THE EXAMPLE—

To see the complete math example collection on this topic, click on this link

The next section provides a background on polynomials.

What Are Polynomials?

Polynomials Are Made Up of Monomials

A monomial is a single expression that is usually the product of a number and one or more variables raised to a positive exponent power. Read the following definition.

A monomial is an example of a polynomial.

Binomials Are Made Up of Two Monomials

If you combine two monomials, you have a binomial, so long as the two monomials cannot be further added or subtracted. Read the following definition.

Notice how each binomial is made up of two monomials. Here’s an example of two monomials that, when combined, result in a monomial, not a binomial.

Trinomials Are Made Up of Three Monomials

If you combine three monomials, you have a trinomial, so long as the monomials cannot be further added or subtracted. Read the following definition.

Notice how each binomial is made up of three monomials. 

The Degree of a Polynomial

The term with the highest exponent determines the degree of the polynomial.

This is a polynomial of degree 1:

This is a polynomial of degree 2:

This is a polynomial of degree 3: 

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader. Follow these steps.

• Click on the Accessibility icon on the upper-right part of the screen.
  

• From the menu, click on the Screen Reader button. Then close the Accessibility menu.
  

• Click on the PREVIEW button on the left and then click on the definition card. The Screen Reader will read the definition.