Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test

Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator

Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets
» » Subtracting Polynomials

Subtracting Polynomials

Subtracting Polynomials is very similar to adding polynomials. In fact, we will be changing the subtraction problem to an addition problem.

In the Pre-Algebra section of the website, we started out by reviewing integers.

We said, "When you subtract integers, you must add the opposite. We also talked about the Keep - Change- Change Rule. That rule applies to polynomials as well.

Take a look at these examples that show you how to rewrite the problem as an addition problem.

subtracting polynomials

Your first step is to change the subtraction problem to an addition problem. Then you add, just as you did in the adding polynomials lesson.

Let's take a look at an example. Once we change this problem to an addition problem, we will use the horizontal method for solving.

Example 1

subtracting polynomials

Did you notice how you first used the Keep - Change - Change rule to change the problem to an addition problem? Once you have the addition problem you just add like terms. It's really that simple, but you can't forget to "add the opposite"!

For our next example, I am going to add a set of brackets, which will require a few more steps in order to reach a solution. Watch carefully!

Example 2

subtract polynomials

You always work from the inside out with brackets. Notice how I had to add the opposite twice. This is a very important step and must be completed properly in order to arrive at the correct answer.

One last example. This example will demonstrate how to use the vertical method for adding once you Keep - Change - Change.

Example 3

subtracting polynomials

Again, you can choose whether you want to use the horizontal or vertical methods for adding. But first, you must rewrite the problem as an addition problem. Don't forget that very important step!

Now you can successfully add and subtract polynomials. You are now ready to multiply polynomials.

Other Polynomial Lessons You Might Like

Like This Page?


We would love to hear what you have to say about this page!

Top of the Page

Follow Algebra-Class

Algebra Class E-course Members


Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Search This Site

Custom Search

Algebra Class Courses

algebra ecourse

algebra 1 review course

pre algebra ecourse

Algebra Class
Most Popular Pages

algebra practice test

algebra cheat sheets

algebra formulas

What People Are Saying...

"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.

It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"

Jimmy - United States

"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"

Tom - United States

"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"

Elizabeth - United States

"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."

Noel - South Africa

This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.

Reg - United States

Connect and Follow Algebra Class

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED