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
- Uploaded on | 0 Views
-
sham
About Solving Quadratic Equations with Leading Coefficient Not Equal to 1: X-Factor Method
PowerPoint presentation about 'Solving Quadratic Equations with Leading Coefficient Not Equal to 1: X-Factor Method'. This presentation describes the topic on In this lesson, titled "8 4B Solving Quadratic Equations when the Leading Coefficient isn't 1. The key topics included in this slideshow are . Download this presentation absolutely free.
Presentation Transcript
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?
