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Factoring Assignment
Factor out the GCF from each polynomial.
1. 42x – 7
2. x3 + 5x2
7 6
3 2
2 5
2 2
4. a b – a b + a b – a b
6. x(y2 + 1) – 3(y2 + 1)
8. q(b3 – 5) + (b3 – 5)
3. 12x3 + 16x2 – 8x
5. 5x y – 15x y + 10xy
7. z(y + 4) + 3(y + 4)
3
2
Factor each four-term polynomial by grouping.
9. x3 + 2x2 + 5x + 10
10. 2x3 – x2 – 10x + 5
3
2
11. 16x – 28x + 12x – 21
12. 6x – 42 + xy – 7y
Factor each trinomial completely.
13. x2 + 7x + 6
14. x2 + 6x + 8
16. x2 – 10x + 9
17. x2 – 3x – 18
19. x2 + 3x – 70
20. x2 + 4x – 32
2
22. n – 18n + 17
23. t2 + 10t – 24
15. y2 – 12y + 11
18. x2 – x – 30
21. x2 + 8xy + 15y2
Factor each trinomial completely.
24. 2x2 + 13x + 15
25. 8y2 – 17y + 9
27. 3x2 + 20x – 63
28. 10x2 + 31x + 3
30. 25n2 – 5n – 6
31. 2x2 + 7x – 72
26. 36r2 – 5r – 24
29. 8x2 – 14xy + 3y2
Factor each trinomial completely.
32. x2 + 18x + 81
33. x2 – 16x + 64
2
35. 16y + 40y + 25
36. 16t2 – 25
38. 25y4 – 100y2
39. xy3 – 9xyz2
34. 25x2 – 20x + 4
37. 9y2 – 4