Chapter 6 Factoring and Quadratic Equations Section 6

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Chapter 6 Factoring and Quadratic Equations Section 6 Solving Quadratic Equations by Factoring Copyright

Chapter 6 Factoring and Quadratic Equations Section 6 Solving Quadratic Equations by Factoring Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 1

Concept Zero-Factor Property of Real Numbers If , then Copyright © 2016, 2012, and

Concept Zero-Factor Property of Real Numbers If , then Copyright © 2016, 2012, and 2009 Pearson Education, Inc. or 2

Example 1 Zero-Factor Property of Real Numbers Solve: or Copyright © 2016, 2012, and

Example 1 Zero-Factor Property of Real Numbers Solve: or Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 3

Concept Solving Quadratic Equations by Factoring 1. Write the equation in standard form: 2.

Concept Solving Quadratic Equations by Factoring 1. Write the equation in standard form: 2. Factor the expression completely. 3. Set each factor equal to 0 and solve the resulting equations. 4. We should finish by checking our solutions. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 4

Example 2 Solving Quadratic Equations by Factoring Solve: or Copyright © 2016, 2012, and

Example 2 Solving Quadratic Equations by Factoring Solve: or Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 5

Example Solving Quadratic Equations by Factoring 3 Solve: or Copyright © 2016, 2012, and

Example Solving Quadratic Equations by Factoring 3 Solve: or Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 6

Concept Finding a Quadratic Equation Given Two Solutions If and are solutions to a

Concept Finding a Quadratic Equation Given Two Solutions If and are solutions to a quadratic equation, then the equation must be of the form Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 7

Example 4 Finding a Quadratic Equation Given Two Solutions Find a quadratic equation with

Example 4 Finding a Quadratic Equation Given Two Solutions Find a quadratic equation with this solution set: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 8

Factoring Quadratic Equations Factoring Quadratic Equations Remember QuadraticFactoring Quadratic Equations Factoring Quadratic Equations Remember Quadratic
FACTORING FACTORING GCF FACTORING USING GCF When factoringFACTORING FACTORING GCF FACTORING USING GCF When factoring
Factoring Quadratic Equations What are Quadratic Equations AFactoring Quadratic Equations What are Quadratic Equations A
Quadratic Equations Quadratic Equations A basic quadratic equationQuadratic Equations Quadratic Equations A basic quadratic equation
QUADRATIC EQUATIONS QUADRATIC EQUATIONS DEFINITION OF QUADRATIC EXPRESSIONQUADRATIC EQUATIONS QUADRATIC EQUATIONS DEFINITION OF QUADRATIC EXPRESSION
New Unit on Factoring Quadratic Equations Quadratic FunctionsNew Unit on Factoring Quadratic Equations Quadratic Functions
Solving Quadratic Equations by FACTORING What are QuadraticSolving Quadratic Equations by FACTORING What are Quadratic