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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Solving Equations by Factoring
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 1
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 2
Factoring
Chapter 7
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 7.5 - 3
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.
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.
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.
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.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 8
7.5 Solving Equations by Factoring
Quadratic Equations and Solving Quadratic Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 9
7.5 Solving Equations by Factoring
Solving Quadratic Equations by Factoring
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.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 7.5 - 11
7.5 Solving Equations by Factoring
Solving Quadratic Equations by Factoring
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
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
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
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.