Learning Objectives
Introduction
In this tutorial we help you expand your knowledge of polynomials by looking at multiplying polynomials together. We will look at using the distributive property, initially shown in Tutorial 5: Properties of Real Numbers, to help us out. Again, we are using a concept that you have already seen to apply to the new concept. After going through this tutorial you should have multiplying polynomials down pat.
Tutorial
On this page we will look at some of the more common types of polynomials to illustrate this idea.
One way to keep track of your distributive property
is to
Use the FOIL method. Note that this method
only works
on (Binomial)(Binomial).
This is a fancy way of saying take every term of the first binomial times every term of the second binomial. In other words, do the distributive property for every term in the first binomial.
*Use the FOIL method
*Combine like terms
Special Product Rule for
a Binomial Squared:
Any time you have a binomial squared you can use this shortcut method to find your product.
This is a special products rule. It would be perfectly ok to use the foil method on this to find the product. The reason we are showing you this form is that when you get to factoring, you will have to reverse your steps. So when you see , you will already be familiar with the product it came from.
*
*Write in desc. order
*Write in desc. order
*Combine like terms
Practice Problems
To get the most out of these, you should work the problem out on your own and then check your answer by clicking on the link for the answer/discussion for that problem. At the link you will find the answer as well as any steps that went into finding that answer.
Practice Problems 1a - 1e: Multiply.
Need Extra Help on these Topics?
http://www.algebrahelp.com/lessons/simplifying/distribution/
This website helps with the distributive property.
http://www.algebrahelp.com/lessons/simplifying/foilmethod/
This website helps with the FOIL method and (polynomial)(polynomial).
http://www.purplemath.com/modules/polymult.htm
This webpage helps with multiplying polynomials.
Go to Get Help Outside the Classroom found in Tutorial 1: How to Succeed in a Math Class for some more suggestions.
Last revised on July 14, 2011 by Kim Seward.
All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward. All rights reserved.