ALGEBRA FACTORING REVIEW
By Patrica Hensley - Jefferson Davis Campus

 

Factor the following completely:

  1. 12mn – 8m
  2. rq + 2r + 2qs + 4s
  3. 10ab – 6b + 35a – 21
  4. y2 + y – 72
  5. m2 – 81
  6. 6a2 – 48a – 120
  7. 9x2 – 6x3 + x4
  8. z2 + 9z + 20
  9. 9a2 – 16
  10. 6k2 + 5kp – 6p2
  11. 216x3 + 125y3
  12. 6x2 + 19x + 3
  13. m4 – 3m2 - 10
  14. 16p2 – 40p + 25
  15. 12r2 + 24r – 15
  16. x2 (2y-1)2 – 4x (2y – 1)2 + 4 (2y+ 1)2
  17. 8 – a3
  18. x4 – 13x2 + 36
  19. 4p2 + 3p – 1
  20. 3x2 + 48
  21. 18x5 + 15x4z - 75x3z2
  22. (x – 2y)2 – 100
  23. 3m3 + 12m2 + 9m
  24. x2 + 2xy - 35y2
  25. 5a2 – 7ab – 6b2
  26. 36x2 + 49y2
  27. 9p2 – q2r2
  28. 2m4 + 6 – am4 – 3a
  29. 8m3 – 27n3
  30. 36x2 + 60x + 25
  31. x4 – 625

 

 

 

 

 

 

 

 

 

ANSWERS FOR ALGEBRA FACTORING REVIEW

 

 

  1. 4m (3n – 2)
  2. (q + 2) (r + 2s)
  3. (5a – 3) (2b + 7)
  4. (y +9) (y - 8)
  5. (m – 9) ( m + 9)
  6. 6 (a – 10) (a + 2)
  7. x2 (3 – x)2
  8. (z + 4) (z + 5)
  9. (3a + 4) (3a – 4)
  10. (2k + 3p) (3k – 2p)
  11. (6x + 5y) (36x2 – 30xy + 25y2)
  12. (6x + 1) (x + 3)
  13. (m2 – 5) (m2 + 2)
  14. (4p - 5)2
  15. 3(2r + 5) (2r – 1)
  16. (2y – 1)2 (x – 2)2
    17. (2 ~V a) (4 + 2a + a2) (x + 3) (x ~V 3) (x + 2) (x ~V 2)
  17. (4p ~V 1) (p + 1)
  18. 3(x2 + 16)
  19. 3x3 (2x + 5z) (3x ~V 5z)
  20. (x ~V 2y ~V 10) (x ~V 2y + 10)
  21. 3m (m + 1) (m + 3)
  22. (x + 7y) (x ~V 5y)
  23. (5a + 3b) (a ~V 2b)
  24. Not factorable
  25. (3p ~V qr) (3p + qr)
  26. (6x + 1) (x + 3) 28. (m4 + 3) (2 ~V a)
  27. (2m ~V 3n) (4m2 + 6mn + 9n2)
  28. (4p - 5)2 30. (6x + 5)2
  29. 3(2r + 5) (2r ~V 1) 31. (x + 5) (x ~V 5) (x2 + 25)
  30. (2y ~V 1)2 (x ~V 2)2