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Section 7.6

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  1. Chapter 7 Section 7.6 Exercise #7

  2. Use the FOIL method to multiply the two binomials.

  3. Outer Inner First Last (2x  7)(7x  9)

  4. First Outer Inner Last 2x 7x + 2x  9 + 7 7x + 7 9

  5. 14x2  18x  49x + 63

  6. 14x2  67x + 63

  7. Chapter 7 Section 7.6 Exercise #11

  8. Solve the quadratic equation by factoring.

  9. x2 + 5x + 6 = 0 6 2 3 2 + 3 = 5 1 6 1 + 6 ≠ 5 or

  10. x2 + 5x + 6 = 0 (x + 3)(x + 2) = 0

  11. x2 + 5x + 6 = 0 If (x + 3) (x + 2) = 0 (x + 3) = 0 or (x + 2) = 0 then

  12. x2 + 5x + 6 = 0 (x + 3) = 0

  13. x2 + 5x + 6 = 0 x + 3  3 = 0  3

  14. x2 + 5x + 6 = 0 x = 3 or (x + 2) = 0

  15. x2 + 5x + 6 = 0 x = 3 or x + 2  2 = 0  2

  16. x2 + 5x + 6 = 0 x = 3 or x= 2

  17. x2 + 5x + 6 = 0 The solution set is{2,3}.

  18. check: (2)2 + 5(2) + 6

  19. check: 4  10 + 6

  20. check: 0 

  21. check: (3)2 + 5(3) + 6

  22. check: 9  15 + 6

  23. check: 0 

  24. Chapter 7 Section 7.6 Exercise #29

  25. Solve the quadratic equation by factoring.

  26. 12  x = 6x2 12  12  x + x = 6x2  12 + x

  27. 12  x = 6x2 0 = 6x2  12 + x

  28. 12  x = 6x2 0 = 6x2 + x  12

  29. 12  x = 6x2 If (3x  4)(2x + 3) = 0 then 3x  4 = 0 or 2x + 3 = 0

  30. 12  x = 6x2 (3x  4) = 0

  31. 12  x = 6x2 3x  4 + 4 = 0 + 4

  32. 12  x = 6x2 3 3 3x = 4

  33. 12  x = 6x2 4 1 x = 3

  34. 12  x = 6x2 4 x = 3 or (2x + 3) = 0

  35. 12  x = 6x2 4 x = 3 or 2x + 3  3 = 0  3

  36. 12  x = 6x2 4 x = 3 or 2x = 3 2 2

  37. 12  x = 6x2 4 x = 3 or 1 x = 3 2

  38. 12  x = 6x2 4 x = 3 or x = 3 2

  39. 12  x = 6x2 4 3 The solution set is{ , }. 3 2

  40. 12  = 6 4 4 3 3 check:

  41. check: 2 16  = 9 4 6 3 36 3 1 3

  42. check: = 32 32 3 3 

  43. 12  = 6 3 3 2 2 check:

  44. check: 3 + = 6 2 24 2 3 9 2 4

  45. check: 27 27 = 2 2 

  46. Chapter 7 Section 7.6 Exercise #37

  47. Solve the quadratic equation by using the quadratic formula.

  48. x2  8x  9 = 0 +

  49. x2  8x  9 = 0 +

  50. x2  8x  9 = 0 +