2. Chapter 7
Factoring

3. Solving Equations by Factoring
7.5
Solving Equations by Factoring

4. 7.5 Solving Equations by Factoring
Objectives
Learn and use the zero-factor property.
Solve applied problems that require the zero-factor property.
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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.
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6. 7.5 Solving Equations by Factoring
Learn to use the zero-factor property.
Copyright © 2010 Pearson Education, Inc. All rights reserved.

7. 7.5 Solving Equations by Factoring
Learn to use the zero-factor property.
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8. 7.5 Solving Equations by Factoring
Quadratic Equations and Solving Quadratic Equations
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9. 7.5 Solving Equations by Factoring
Solving Quadratic Equations by Factoring
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10. 7.5 Solving Equations by Factoring
Solving Quadratic Equations by Factoring
Note there are two solutions.
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11. 7.5 Solving Equations by Factoring
Solving Quadratic Equations by Factoring
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12. 7.5 Solving Equations by Factoring
Solving a Quadratic Equation with a Missing Constant Term
CAUTION
Remember to include 0 as a solution.
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13. 7.5 Solving Equations by Factoring
Solving an Equation of Degree 3
Factor by grouping
The difference of two squares
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14. 7.5 Solving Equations by Factoring
Using a Quadratic Function in an Application
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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.
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