2.2 Addition, Subtraction, and Multiplication of Polynomials

2.2 Addition, Subtraction, and Multiplication of Polynomials

Author: chris ludbrook

After this tutorial you should be able to...

  1. Add and subtract polynomial expressions.
  2. Multiply polynomial expressions.

In the previous section, we gained some familiarity with polynomial expressions, and in this section we will continue our work with polynomials by exploring the operations of addition, subtraction, and multiplication.  You are familiar with these operations as they apply to real numbers, and we can now see how our knowledge can be extended to polynomial expressions.  As you will find, you already posses the skills needed to simplify many of these expressions.  Aside from many applications in higher mathematics, becoming proficient with polynomials will  benefit many of your future studies including physics, chemistry, social science, finance, and economics.


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A Quick Refresher

Forgotten what a polynomial is?  Look right here for a quick refresher.

Adding Polynomials

A brief tutorial that describes how to add polynomials.

Subtracting Polynomials

While very similar to adding polynomials, subtracting polynomials has one main step that often trips us up. Be careful!

Multiplying Polynomials

While you have used the FOIL method to multiply binomials, new methods must be developed to cope with multiplying larger polynomials.