Factoring Worksheet GCF



Factoring Homework Name: _________________________ Period:

Please complete each assignment on your own paper.

GCF

1. x2 – 5x 2. 3x – 12 3. 2 x2 + 12x

4. x2 + 3x 5. 4x3 + 4x 6. 6a2 b – 2ab2

7. 8ax – 56a 8. x3 – 2x2 9. 3x2 – 12x

10. 81 – 36xy 11. t2h + 3t 12. 5c3 – 2c2

13. 36xy2 – 48x2y 14. 75b2c3 + 60bc6 15. 6e3f – 11ef

16. 20p2 – 16p2 q2 17. 34x4y3 – 17x2y5 18. 35m3n + 105m2n3

Factor a = 1

1. x2 + 8x +16 2. x2 - 7x + 10 3. x2 + 32x - 144

4. x2 – x – 12 5. x2 – 13x + 40 6. x2 + 8x – 20

7. x2 – 10x +25 8. x2 + 6x – 16 9. x2 + 2x – 3

10. x2 – 8x + 16 11. x2 + 2x – 48 12. x2 + 2x + 1

13. x2 – 3x – 18 14. x2 + 50x + 96 15. x2 + 26x - 120

16. x2 + 53x + 196 17. x2 + 74 x+ 400 18. x2 – 30x + 81

Factoring Perfect Squares

1. x2 + 12x + 36 2. x2 – 18x + 81 3. x2 + 16x + 64

4. x2 – 10x + 25 5. x2 + 10x + 25 6. x2 - 14x + 49

7. x2 – 6x + 9 8. x2 – 4x + 4 9. x2 – 9

10. x2 – 36 11. 16x2 – 1 12. 49x2 – 1

13. 9x2 – 16 14. x2 – y2 15. 196x2 – 9

16. 4x2 – 36 17. 36x2 – 49 18. 225x2 -16

19. 4x2 – 100 20. 9 – x2 21. 625y4 – 16z4

Factor by Grouping

1. 25v3 + 5v2 + 30v + 6 2. 105n3 + 175n2 – 75n – 125 3. 96x3 – 84x2 + 112x – 98

4. 28y3 + 16y2 -21y – 12 5. 4v3 – 12v2 – 5v + 15 6. 49x3 – 35x2 + 56x – 40

7. 24p3 + 15p2 – 56p – 35 8. 24r3 – 64r2 - 21r + 56 9. 12x2u + 3x2v + 28yu + 7yv

Factor a>1

1. 2x2 + 5x – 12 2. 6x2 -13x – 28 3. 3x2 - 23x +30

4. 10 x2 – 42x +4 5. 4x2 - 8x +3 6. 6x2 + 19x +10

7. 6x2 + 5x +1 8. 4x2 + 4x – 3 9. 2x2 – 32

10. 3x3 – 9x2 – 30x 11. 5x3 + 30x2 + 45x 12. 2x2 + 8x – 10

13. 3x2 + 6x – 24 14. 5x3 – 40x2 + 60x 15. 3x2 + 24x + 48

Factoring Perfect Cubes

1. 1. x3 + 27

2. 8 – x3

3. 64 + x3

4. y3 – 125

5. 2x7 + 54x4

6. 4x5 – 32x2

7. x3 – 1

8. 40 – 5x3

9. 216x6 – 343y9

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