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FACTORING REVIEW: FACTOR COMPLETELY
By Patrica Hensley - Jefferson Davis Campus

  1. x3 + 8y3

  2. x2 + 8x 3x 24 ________________________
  3. 3x2 + 13x 10 ________________________
  4. x2n + 7xn + 12 ________________________
  5. 16x2 49 ________________________
  6. 3a2 18a2b3 ________________________
  7. a2 - 14a + 45 ________________________
  8. b (a c) + d (a c) ________________________
  9. 20x2 + 65x + 15 ________________________
  10. 25x2 + 30x + 9 ________________________
  11. 24a2 + 4ab 8b2 ________________________
  12. 12 + 3b 4a2 a2b ________________________
  13. x3 64 ________________________
  14. 6x2 7x 20 ________________________
  15. 8x2y2 12xy2 + 20xy3 ________________________
  16. 4a2 20ab + 25b2 ________________________
  17. b4 + 12b2 + 27 ________________________
  18. a2 + 9a + 8 ________________________
  19. 6x2 6 ________________________
  20. b2n 36 ________________________

ANSWERS:

  1. (x + 2y) (x2 2xy + 4y2)
  2. x (x + 8) 3 (x + 8) Þ (x + 8) (x 3)
  3. (3x 2) (x + 5)
  4. (xn + 3) (xn + 4)
  5. (4x 7) (4x + 7)
  6. 3a2 (1 6b3)
  7. (a 9) (a 5)
  8. (a c) (b + d)
  9. 5 (4x2 + 13x + 3) Þ 5 (4x + 1) (x + 3)
  10. (5x + 3)2
  11. 4(6a2 + ab 2b2) Þ 4 (3a + 2b) (2a b)
  12. 3(4 + b) a2 (4 + b) Þ (4 + b) (3 a2)
  13. (x 4) (x2 + 4x + 16)
  14. (3x + 4) (2x - 5)
  15. 4xy2 (2x 3 + 5y)
  16. (2a 5b)2
  17. (b2 + 9) (b2 + 3)
  18. (a + 8) (a + 1)
  19. 6 (x2 1) Þ 6 (x 1) (x + 1)
  20. (bn + 6) (bn 6)