Lesson Factoring Trinomials

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This Lesson (Factoring Trinomials) was created by by rapaljer(4667) About Me : View Source, Show
About rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.

This text was imported from http://www2.seminolestate.edu/rrapalje/BasicAlgebra/Basic%20One%20Step%20Ch%202/2.04%20Factoring%20Trinomials.htm by its author.

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

ANSWERS TO ALL EXERCISES ARE INCLUDED AT THE END OF THIS PAGE

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

 

 

 

 

 

 

 

 

 

 

ANSWERS 2.04

 

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).

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Dr. Robert J. Rapalje Altamonte Springs Campus
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