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Solving Quadratic Equations by Factoring

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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Solving Quadratic Equations by Factoring

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  1. Solving Quadratic Equations by Factoring 1 Terminology 2 Zero Factor Theorem 3 Methods for Solving

  2. Terms www.themegallery.com

  3. 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

  4. y x Zeros of the Function: Graphs Zeros of the Function Zeros of the Function

  5. Solving by Factoring • Solve 3x2=10-x

  6. More Solving by Factoring • Solve the equation x2 + 16 =8x

  7. 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

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