Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 1.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 1


Factoring

Chapter 7


7.5

Solving Equations by Factoring

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 4

7.5 Solving Equations by Factoring

Objectives

1. Learn and use the zero-factor property.

2. Solve applied problems that require the zero-factor property.



Learn to use the zero-factor property.

The two tools used to solve linear equations, adding the same number to both sides and multiplying both sides by the same nonzero number, are not enough to solve higher-degree equations. However, our number system has the following property which provides another tool necessary to solve higher-degree equations.

It is important to note that the Zero-Factor Property only works for a product equal to zero.









Quadratic Equations and Solving Quadratic Equations



Solving Quadratic Equations by Factoring




Note there are two solutions.






Solving a Quadratic Equation with a Missing Constant Term

Remember to include 0 as a solution.CAUTION



Solving an Equation of Degree 3

Factor by grouping

The difference of two squares



Using a Quadratic Function in an Application



Using a Quadratic Function in an Application

If weather radios are sold for either $5 or $8, the revenue will be $4000.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 1.

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