1. 9.6 - Factoring Quadratics when a > 1
Grade Distribution
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2. 9.6 - Factoring Quadratics when a > 1
Solving Quadratic Equations when a > 1 and by factoring with GCF
Section 9.6
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9.6 - Factoring Quadratics when a > 1

3. Factoring Steps when a>1
Make sure the equation is all equal to ZERO
Determine if there is a GCF
Determine the Target Product and Target Sum of the equation
Multiply the First and Last Term by drawing circles (or called the skip)
List all multiples and add them
Ensure the terms adds to the middle and multiplies the end
Rewrite the problem with the new middle terms
Make sure that one of the binomials is the same on both sides
Splitting the Terms (with four terms) and drawing a line
Take out the GCF and Factor by Grouping
Combine like terms and multiply
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4. Example 1 Factor 2x2 + 5x + 2 Skip SUM
PRODUCT
SUM
What number adds up to +5 and multiplies to +4
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5. Example 1
Factor 2x2 + 5x + 2
You must add an X to the middle term because it has to match the original equation
This sign should ALWAYS be bought down
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6. 9.6 - Factoring Quadratics when a > 1
Example 1
Factor 2x2 + 5x + 2 with tiles
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7. Example 1 Calculator Check
Factor 2x2 + 5x + 2
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8. 9.6 - Factoring Quadratics when a > 1
Example 2
Factor 2x2 – 7x + 3
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9. 9.6 - Factoring Quadratics when a > 1
Example 3
Factor 3x2 + 20x – 7
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10. 9.6 - Factoring Quadratics when a > 1
Your Turn
Factor 3x2 + 14x – 5
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11. 9.6 - Factoring Quadratics when a > 1
Example 4
Factor 2x2 – 9 – 3x
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12. 9.6 - Factoring Quadratics when a > 1
Example 5
Factor 4x2 – 3 + 4x
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13. 9.6 - Factoring Quadratics when a > 1
Example 6
Factor 6x2 + 5x – 6
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14. 9.6 - Factoring Quadratics when a > 1
Your Turn
Factor 6x2 + 37x + 6
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15. 9.6: Solving Polynomials when a > 1
Example 7
Solve through factoring, (3x – 4)(2x + 5) = 0
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9.6: Solving Polynomials when a > 1

16. 9.6: Solving Polynomials when a > 1
Your Turn
Solve through factoring, 2x(3x + 7) = 0
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9.6: Solving Polynomials when a > 1

17. 9.6: Solving Polynomials when a > 1
Example 8
Solve through factoring, 2x2 + 5x + 2 = 0
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9.6: Solving Polynomials when a > 1

18. 9.6: Solving Polynomials when a > 1
Example 9
Solve through factoring, 2x2 – 35 = 3x
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9.6: Solving Polynomials when a > 1

19. 9.6: Solving Polynomials when a > 1
Your Turn
Solve through factoring, 6x2 – 15x = 99
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9.6: Solving Polynomials when a > 1

20. Example 10 Factor and Solve 16x2 – 1 = 0
Don’t forget the xy in the middle
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9.6: Solving Polynomials when a > 1

21. 9.6: Solving Polynomials when a > 1
Example 11
Factor and Solve 9x2 – 64 = 0
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9.6: Solving Polynomials when a > 1

22. 9.6: Solving Polynomials when a > 1
Your Turn
Solve through factoring, 25x2 – 9 = 0
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9.6: Solving Polynomials when a > 1

23. 9.6: Solving Polynomials when a > 1
Example 12
Solve through factoring, 51x2 = 17x
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9.6: Solving Polynomials when a > 1

24. 9.6: Solving Polynomials when a > 1
Example 13
Solve through factoring, 14x2 + 12x = 2
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9.6: Solving Polynomials when a > 1

25. 9.6: Solving Polynomials when a > 1
Your Turn
Solve through factoring, –4x2 – 31x = –8
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9.6: Solving Polynomials when a > 1

26. 9.6: Solving Polynomials when a > 1
Assignment
Worksheet
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9.6: Solving Polynomials when a > 1