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# Solving Quadratic Equations by Factoring - PowerPoint PPT Presentation

Solving Quadratic Equations by Factoring. 1. Terminology. 2. Zero Factor Theorem. 3. Methods for Solving. Terms. Zero Factor Theorem. If p and q are algebraic expressions, then pq =0 if and only if p=0 or q=0 Example: (x+2)(2X-4)=0; x+2=0 and/or 2x-4=0 Steps

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Presentation Transcript

1

Terminology

2

Zero Factor Theorem

3

Methods for Solving

Terms

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Zero Factor Theorem
• If p and q are algebraic expressions, then pq=0 if and only if p=0 or q=0
• Example: (x+2)(2X-4)=0; x+2=0 and/or 2x-4=0
• Steps
• Get all variables & constants set equal to zero
• Factor
• Set each factor equal to zero
• Solve each factor individually

y

x

Zeros of the Function: Graphs

Zeros of the Function

Zeros of the Function

Solving by Factoring
• Solve 3x2=10-x
More Solving by Factoring
• Solve the equation x2 + 16 =8x
When to Use What
• Multiples of a variable or constant
• Example:
• GCF
• 3 terms without a multiple of a variable or constant
• Example:
• Rainbow Method