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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

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• 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

x

Zeros of the Function: Graphs

Zeros of the Function

Zeros of the Function

• Solve 3x2=10-x

• Solve the equation x2 + 16 =8x

• Multiples of a variable or constant

• Example:

• GCF

• 3 terms without a multiple of a variable or constant

• Example:

• Rainbow Method