Adding Polynomials


Before we begin adding polynomials, we are going to review the definition of like terms.

Like terms are two or more terms that have identical variables, and possibly different coefficients.

Take a look at the following examples:

like terms


It's very important that you understand this definition of like terms as you begin working with polynomials!

When you add polynomials, you are simply going to add the like terms! There are two methods that you can use to add polynomials: the vertical method or horizontal method. I will show you both methods, so that you can choose the one that is most comfortable for you!

For example 1, I will use the horizontal method.


Example 1

adding polynomials


Did you notice how we simply rewrote the problem with like terms together, and then combined the like terms? Now, I'll show you the vertical method.


Example 2

adding polynomials


Let's take another look at an example using the horizontal method.


Example 3

adding polynomials


Now we'll look at an application of this skill and use the vertical method to solve!


Example 4

adding polynomials






Are you ready to try a couple on your own? You may use the horizontal format or the vertical format!



practice problems


Practice Problems

adding polynomial practice






Answer Key


Problem 1

adding polynomials solutions



Problem 2

adding polynomials solutions



Great Job! Now you are ready for subtracting polynomials.




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