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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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After studying this lesson, you will be able to:

When adding and subtracting polynomials, remember that you can only add or subtract like terms. And, remember to add or subtract the coefficients - the exponents do not change.

Example 1

( 3y 2 + 5y - 6 ) + (7y 2 - 9 )

We are adding two polynomials so all we do is to collect like terms. It's a good idea to put the answer in descending order as we go.

Adding like terms the answer will be: 10y 2 + 5y - 15

Example 2

( 4x 2 -3y 2 + 5xy ) - ( 8xy + 6x 2 + 3y 2 )

We are subtracting two polynomials so first we "add the opposite" in the second polynomial.

This will give us: ( 4x 2 -3y 2 + 5xy ) + ( - 8xy - 6x 2 - 3y 2 )

Now, we add like terms, beginning with the highest exponent so that our answer will be in descending order. Adding like terms the answer will be: -2x 2 - 3xy - 6y 2