Lesson Factoring the Common Factor by Rapalje

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2.03   Factoring the Common Factor

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

P. 139-146

Dr. Robert J. Rapalje

Seminole State College of Florida

Sanford, FL 32773

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

ANSWERS 2.03

p. 140-145:

            1. 3(x+5); 2. 8(x+3); 3. 7(x-4); 4. 5(x-5); 5. 17(2x+y); 6. 14(x+2y); 7. 12(x+3y); 8. 15(x+4y); 9. 7(x+1);

            10. 3(x²+1); 11. 21(2x²+1); 12. 15(2x²+1); 13. 5x(x+3); 14. 7x(x+3); 15. 7x(x+2); 16. 7x(x-2); 17. 3x(x+4);

            18. 3x(7x+10); 19. 2x(8x-9); 20. 6x(2x-5); 21. x²(x+3); 22. x²(x+4); 23. x(x²+4); 24. x²(x-4); 25. 4x²(x+2);

            26. 4x(x²+2); 27. 4x²(3x-2); 28. 8x²(2x-3); 29. 16x²(x+2); 30. 6x²(2x+3); 31. 6x²(2x-3); 32. 15x²(3x+2);

            33. 12(x²+1); 34. 12(2x²+1); 35. 12x(2x+1); 36. 12x(12x+1); 37. 16x²(1+3x); 38. 16x²(1-3x);

            39. 12x³(2x+3); 40. 24x²(x+1); 41. 24x(x²+1); 42. 8x²(3x²+2); 43. 3(2x+3y-4); 44. 3(x+2y+4z);

            45. 9(x+2y+1); 46. 10(3x+2y+1); 47. 5(6x+4y-1); 48. 7(5x+4y-2z); 49. 10(3x²+2xy-y²);

            50. 10x(3x²+2y+x); 51. 12x(x²+2x+2); 52. 3x(4x²- 8x+1); 53. 19x²(x+y+2); 54. 12x²(3x+2y+1);

            55. 16x²(1+2x); 56. 16x²(x+2); 57. 4x²(4-3x); 58. 4x²(4x-3); 59. y³(y²-14); 60. x³(x⁷+5);

            61. 4x²y²(4y-3x); 62. 4x²y³(x+2y); 63. 5x²y(xy²+2); 64. 8x⁴y²(x-2y); 65. 4x³y³(2x²+3y); 66. 8x²y⁴(x+3y²);

            67. -(x²+4x-6); 68. -(x²-5x+1); 69. -(x²-3x-7); 70. -6(x²-2); 71. -3(2x+3y-5); 72. -4(2x-5y+6); 73. -x(x+4);

            74. -x(x+7); 75. -x(x-7); 76. -4x(1-3x); 77. -4x(2+3x); 78. -4(x²+y²); 79. -x(x+3-8y); 80. -4(x²+4x-4);

            81. -(8-8x+x²); 82. -8(1+x+x²); 83. -8(-1+2x+5x²); 84. -5(-7-4x+x²);

            85a) x(y+7); b) a(y+7);c) $(y+7);d) (Junk)(y+7);e) (x+4)(y+7);

            86a) y(4x+3); b) a(4x+3); c) $(4x+3);d) (Junk)(4x+3);e) (y-7)(4x+3);

            87. (x+4)(a-5); 88. (b+7)(5a+3); 89. (3x+4)(5a+9b); 90. (9y-7)(10a-3); 91. (x-y)²;

            92. (x-y)(x-y+4); 93. (x-y)(x+y-4); 94. (2x+3y)(x-y+4); 95. (x+y)(x+y-z); 96. (x-y)(x-y-z); 97. (x-y)(x-2y);

            98. x(x+y); 99. (2x+3y)(2x+3y-5); 100. (2x-3y)(2x-3y-5); 101. (2x+3y)(2x+3y+5); 102. 2x(x+y).

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Dr. Robert J. Rapalje	Altamonte Springs Campus
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