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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
solving quadratic equations by factoring
Solving Quadratic Equations by Factoring

1

Terminology

2

Zero Factor Theorem

3

Methods for Solving

terms
Terms

www.themegallery.com

zero factor theorem
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
    • CHECK YOUR ANSWER
zeros of the function graphs

y

x

Zeros of the Function: Graphs

Zeros of the Function

Zeros of the Function

solving by factoring
Solving by Factoring
  • Solve 3x2=10-x
more solving by factoring
More Solving by Factoring
  • Solve the equation x2 + 16 =8x
when to use what
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