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8-4B Solving Quadratic Equations when the Leading Coefficient isn’t 1. X-Factor method If you factor out a GMF: before using the X figure, keep it, after using the X figure, discard it. Algebra 1 Glencoe McGraw-HillLinda Stamper

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In the previous lesson you factored quadratic trinomials when the leading coefficient wasn’t 1. Today you will use the factors to solve quadratic equations. To solve a quadratic equation set the factors equal to zero and then solve the equations.

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Do not confuse instructions. Make sure you understand what it means to: Factor Solve

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-5 2 + 2 ( )( ) Solve. -10 -3 Do not discard the GMF from step 2. Check using FOIL. Set the factors equal to zero and solve. before You must keep the greatest monomial factor that is pulled out before using the X figure! Can you factor out a greatest monomial factor?

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- 3 ( )( ) 3 -4 - 1 Solve by factoring.

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( )( ) Example 1 Solve. 6 5 + 3 + 2 3 2 Set the factors equal to zero and solve. Can you factor out a greatest monomial factor?

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- 1 + 22 ( )( ) Example 2 Solve. -22 21 22 - 3 + 6 ( )( ) Example 3 Solve. -18 3 6 -3 Can you factor out a greatest monomial factor?

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- 6 - 10 ( )( ) 60 -16 Example 4 Solve. + 6 6 ( )( ) 6 7 + 1 1 Example 5 Solve. Can you factor out a greatest monomial factor?

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+ 3 3 6 + 6 ( )( ) 18 9 Example 6 Solve. - 3 + 4 ( )( ) Example 7 Solve. -12 1 4 -3 Can you factor out a greatest monomial factor?

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-5 2 + 2 ( )( ) -10 -3 Set the factors equal to zero and solve. before You must keep the greatest monomial factor that is pulled out before using the X figure! Can you factor out a greatest monomial factor? Example 8 Solve.

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+ 4 4 9 + 9 ( )( ) Example 9 Solve. 36 13 2 -6 ( )( ) -12 -4 + 2 Example 10 Solve. Can you factor out a greatest monomial factor?

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8-A10 Pages 445-446 # 23–30,54-59.

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