# Lesson Factoring Trinomials

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About rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.

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2.04   Factoring Trinomials

from Basic Algebra: One Step at a Time © 2002-2011

P. 147-156

Dr. Robert J. Rapalje

Seminole State College of Florida

Sanford, FL  32773

 To see selected solutions in Living C O L O R  click here!

Do you remember from Section 2.01, you learned to multiply the product of two binomials using the F OI L method?  As an introduction to this most important section on factoring trinomials, it will be helpful to review the   F OI L method of finding products.

REVIEW EXERCISES.        Use the F OI L method to multiply each of the following:

1.  (x + 2)(x + 5)                      2.  (x + 3)(x + 2)                                  3.  (x + 5)(x + 3)

4.  (x − 2)(x − 5)                      5.  (x − 3)(x − 2)                                  6.  (x − 5)(x − 3)

7.  (x − 2)(x + 5)                      8.  (x + 3)(x − 2)                                  9.  (x + 5)(x − 3)

10.  (x + 2)(x − 5)                    11.  (x − 3)(x + 2)                                12.  (x − 5)(x + 3)

147

p. 147:   1. x2+7x+10;   2. x2+5x+6;   3. x2+8x+15;   4. x2-7x+10;  5. x2-5x+6;    6. x2-8x+15;

7. x2+3x-10;   8. x2+ x- 6;    9. x2+2x-15;  10. x2-3x-10;  11. x2- x- 6;  12. x2-2x-15

p. 149-156:      (NOTE:  Factors may be given in any order!)

1. (x+3)(x+2);  2. (x+5)(x+3);  3. (x+4)(x+1);  4. (x+6)(x+1);  5. (x+4)(x+2);

6. (x+8)(x+1);  7. (x+2)(x+1);  8. (x+7)(x+2);  9. (x+5)(x+2); 10. (x+7)(x+5);

11. (x+11)(x+2); 12. (x+6)(x+3); 13. (x+5)(x+8); 14. (x+4)(x+10); 15. (x+40)(x+1);

16. (x+16)(x+1);  17. (x+8)(x+2); 18. (x+9)(x+8); 19. (x-3)(x-2);  20. (x-5)(x-3);

21. (x-5)(x-2);   22. (x-7)(x-2);   23. (x-4)(x-2);   24. (x-3)(x-4);  25. (x-14)(x-1);

26. (x-8)(x-1);   27. (x-7)(x-6);  28. (x-9)(x-6);    29. (x-9)(x-4);  30. (x-18)(x-2);

31. (x+3)(x-1);  32. (x+4)(x-1); 33. (x+3)(x-2); 34. (x+2)(x-1);  35. (x+5)(x-2);

36. (x+7)(x-2);  37. (x-5)(x+1); 38. (x-3)(x+1); 39. (x-7)(x+2);  40. (x-9)(x+2);

41. (x+6)(x-3);  42. (x-5)(x+4); 43. (x+5)(x-4);  44. (x+7)(x-5); 45. (x-11)(x+2);

46. (x-9)(x+3);  47. (x+6)(x-4); 48. (x-8)(x+3);  49. (x-6)(x+4);  50. (x+6)(x-4);

51. (x+12)(x-2);  52. (x-10)(x+3);  53. (x-6)(x+5); 54. (x-15)(x+2);  55. (x-4)(x-3);

56. (x-4)(x+3); 57. (x+12)(x+1);  58. (x-6)(x-2);  59. (x-6)(x+2); 60. (x-12)(x-1);

61. (x-9)(x-4);  62. (x-18)(x-2); 63. (x+18)(x-2);  64. (x-9)(x+4);  65. (x-36)(x+1);

66. (x-6)(x-6);  67. (x+5)(x+12);  68. (x+6)(x+10); 69. (x+15)(x+4);  70. (x-10)(x+6);

71. (x+12)(x-5); 72. (x-30)(x+2);  73. (x-30)(x-2);  74. (x+15)(x-4); 75. (x+60)(x+1);

76. (x-20)(x-3);  77. (x-20)(x+3); 78. (x-60)(x+1);  79. (x-8)(x+7);  80. (x-9)(x+8);

81. (x+9)(x+8);  82. (x-7)(x-4);  83. (x-7)(x+4); 84. (x+14)(x+2);                 85. (x+7)(x+6);  86. (x-7)(x+6); 87. (x-21)(x-2);  88. (x-10)(x+5);  89. (x+25)(x-2);

90. (x-19)(x-2); 91.  3(x+3)(x-1); 92.  5(x+4)(x-1);  93.  8(x+3)(x-2); 94.  6(x+2)(x-1);

95. 12(x+5)(x-2); 96. 10(x+5)(x-2);  97.  x(x-5)(x+1); 98.  x(x+2)(x+3);  99. 2x(x-5)(x-2);

100. 5x(x+2)(x-1);  101. 7x(x+6)(x+1); 102. 8x(x-4)(x-1); 103. x2(x+5)(x-4);   104. x2(x+7)(x-5);

105. 15x2(x-4)(x+1); 106. 20x2(x-3)(x+2); 107. 30x2(x+5)(x-2);  108. 18x2(x+2)(x+1).

 Dr. Robert J. Rapalje Altamonte Springs Campus Contact me at: Phone number:  NONE Retired!! OFFICE:          NONE Copyright © Seminole State College of Florida, 1997

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