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Solving Quadratic Equations by Factoring 33 22 11 Terminology Zero Factor Theorem Methods for Solving

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Terms TerminologyDefinitionExample Quadratic Equation in xAn equation that can be written in the form ax 2 + bx + c =0, where a≠0 2 www.themegallery.com

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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 CHECK YOUR ANSWER 3

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Zeros of the Function: Graphs 4 Zeros of the Function

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Solving by Factoring Solve 3x 2 =10-x 5

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More Solving by Factoring Solve the equation x 2 + 16 =8x 6

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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 7

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