Back to the Math Center

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)