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6.3 Solving Quadratic Equations by Factoring
1 Terminology 2 Zero Factor Theorem 3 Methods for Solving
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Terms Terminology Definition Example Quadratic Equation in x
An equation that can be written in the form ax2 + bx + c =0, where a≠0
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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
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Greatest Common Factor (GCF)
Look for the largest common number and/or variables in each term Divide each term by the common terms
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Grouping
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Rainbow Method (2nd degree Polynomial)
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Solving by Factoring Solve 3x2=10-x
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More Solving by Factoring
Solve the equation x =8x
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Practice Problems Page 303 Problems 4-9, 14-41 Even due today
Odd due next day back
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