Factor out the Greatest Common Factor (GCF). Example: 3X2 9X = 3X(X 3) (Pick 5)

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Factoring Practice

Factor out the Greatest Common Factor (GCF). Example: 3x2 – 9x = 3x(x – 3) (Pick 5)

1. 10x – 10y6. 9a5 + a3

2. 4x2 – 4x7. 18a2 – 6b

3. 5p2q + 10q8. 2m2 + 6mn

4. 8x2 + 20y9. 6w3 – 14w2

5. r2 + 2rs10. 6x2 + 12x – 20

Factor the polynomial into binomials. Example: (x2 – 6x + 8) = (x – 2)(x – 4) (Pick 8)

11. x2 – 3x – 1020. x2 + 6x + 5

12. x2 – 7x – 821. a2 + 10a + 21

13. a2 – 3a – 1822. x2– 49

14. a2 – 2a – 1523. b2 – 7b + 10

15. a2 – 3a – 1024. w2 – 12w – 13

16. x2 – 925. p2 + 10p + 25

17. m2 – 10m + 2426. y2 – 5y – 24

18. a2 + 13a + 3627. m2 – 10m + 24

19. z2 – 14z + 4028. n2 + 2n – 48

Factor the polynomial into binomials using grouping. Example:5x3 – 6x2 + 30x - 36
= (5x3 – 6x2) + (30x – 36) = x2(5x – 6) + 6(5x – 6) = (x2 + 6)(5x – 6)(Pick 5)

29. x2 + x + 3x + 334. x3 + 3x2 + 5x + 15

30.x2 – x + 2x – 2 35. x3 – x2 + 7x – 7

31.x2 + 8x – x – 836. x3 + 3x2 – 3x – 9

32.x3 – 5x2 + 2x – 1037. x3 + 3x2 – x – 3

33.x3 – 4x2 – 6x + 2438. 4x3 – 2x2 + 2x - 1

Factor the special products. Remember they’re perfect squares. (Do ALL)
Example: 4x2 – 12x + 9 = (2x – 3)(2x – 3) = (2x – 3)2

39. 9x2 – 30x + 2541. 81x2 – 18x + 1

40. 49x2 + 56x + 1642. 64x2 + 48xy + 9y2

Factor out the GCF and then factor out the rest of the binomials.(Pick 3)
Example: (3x2 – 18x – 48) = 3(x2 – 6x – 16) = 3(x – 8)(x + 2)

43. 5z2 – 5z – 100

44. 6y2 – 12y – 144

45. 9x2y – 54xy – 360y

46. 10a2b2 – 50a2b – 360a2

47. 16x3 – 64x2 – 512x

48. 5x3y – 20x2y – 60xy

49. 11x3 – 44x