Definition--Polynomial Concepts--Polynomial Function
Definition | Polynomial Concepts | Polynomial Function
This is part of a collection of definitions related to polynomials and similar topics. This includes general definitions for polynomials and polynomial functions, as well as terms related to factoring, roots, different polynomial types, and polynomial operations.
—PRESS PREVIEW TO SEE THE DEFINITION—
To see the complete collection of definitions 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 a PNG file.
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 definitions on this topic. To see the complete collection of definitions, click on this Link.
To learn more about Slide Show Creator, click on this Link.
This resources 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.
|Common Core Standards||CCSS.MATH.CONTENT.HSA.APR.A.1, CCSS.MATH.CONTENT.HSA.APR.B.2, CCSS.MATH.CONTENT.HSA.APR.C.5, CCSS.MATH.CONTENT.HSA.APR.C.4, CCSS.MATH.CONTENT.HSA.APR.B.3, CCSS.MATH.CONTENT.HSF.IF.C.7.C|
|Grade Range||8 - 12|
• Polynomial Functions and Equations
|Keywords||polynomials, monomials, definitions, glossary term|