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

2. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 2 Factoring Chapter 7

3. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 3 7.5 Solving Equations by Factoring

4. 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.

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 5 7.5 Solving Equations by Factoring 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.

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 6 7.5 Solving Equations by Factoring Learn to use the zero-factor property.

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 7 7.5 Solving Equations by Factoring Learn to use the zero-factor property.

8. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 8 7.5 Solving Equations by Factoring Quadratic Equations and Solving Quadratic Equations

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 9 7.5 Solving Equations by Factoring Solving Quadratic Equations by Factoring

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 10 7.5 Solving Equations by Factoring Solving Quadratic Equations by Factoring Note there are two solutions.

11. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 11 7.5 Solving Equations by Factoring Solving Quadratic Equations by Factoring

12. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 12 7.5 Solving Equations by Factoring Solving a Quadratic Equation with a Missing Constant Term Remember to include 0 as a solution. CAUTION

13. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 13 7.5 Solving Equations by Factoring Solving an Equation of Degree 3 Factor by grouping The difference of two squares

14. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 14 7.5 Solving Equations by Factoring Using a Quadratic Function in an Application

15. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 15 7.5 Solving Equations by Factoring Using a Quadratic Function in an Application If weather radios are sold for either $5 or $8, the revenue will be $4000.