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6.3 Solving Quadratic Equations by Factoring

6.3 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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6.3 Solving Quadratic Equations by Factoring

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  1. 6.3 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. Greatest Common Factor (GCF) • Look for the largest common number and/or variables in each term • Divide each term by the common terms

  5. Grouping

  6. Rainbow Method (2nd degree Polynomial)

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

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

  9. Practice Problems • Page 303 Problems 4-9, 14-41 Even due today Odd due next day back

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