# Solving Quadratic Equations with Leading Coefficient Not Equal to 1: X-Factor Method

In this lesson, titled "8 4B Solving Quadratic Equations when the Leading Coefficient isn't 1

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Slide18-4B  Solving QuadraticEquations 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-Hill Linda Stamper

Slide2In 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.

Slide3do not confuse instructions.  make sure you understandwhat it means to: Factor Solve

Slide4-5- 5 2 + 2 (           )(          ) Solve. -10  -3 Do not discard the GMF from step 2. C h e c k  u s i n g  F O I L . 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?

Slide5- 3-3 -1 (          )(         ) 3  -4 - 1 Solve                         by factoring.

Slide6(         )(         )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?

Slide8- 1+ 22 (           )(          ) Example 2    Solve. -22  21 22 -1 - 3 + 6 (           )(          ) Example 3    Solve. -18  3 6 -3 Can you factor out a greatest monomial factor? Can you factor out a greatest monomial factor?

Slide9- 6-6 - 10 -10 (          )(         ) 60  -16 Example 4    Solve. + 6 6 (         )(         ) 6  7 + 1 1 Example 5    Solve. Can you factor out a greatest monomial factor? Can you factor out a greatest monomial factor?

Slide10+ 33 6 + 6 (           )(           ) 18  9 Example 6    Solve. - 3 + 4 (           )(          ) Example 7    Solve. -12  1 4 -3 Can you factor out a greatest monomial factor? Can you factor out a greatest monomial factor?

Slide11-5- 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.

Slide12+ 44 9 + 9 (         )(         ) Example 9    Solve. 36  13 2 -6 - 6 (         )(         ) -12  -4 + 2 Example 10    Solve. Can you factor out a greatest monomial factor? Can you factor out a greatest monomial factor?