6.3 Solving Quadratic Equations by Factoring

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Presentation transcript:

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

Terms Terminology Definition Example Quadratic Equation in x An equation that can be written in the form ax2 + bx + c =0, where a≠0 www.themegallery.com

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

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

Grouping

Rainbow Method (2nd degree Polynomial)

Solving by Factoring Solve 3x2=10-x

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

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