Factoring Worksheet
Factor out the Greatest Common Factor (GCF):
1. 15a  25b
2. 7c3  28c2 d  35cd 3
3. 4a4b  16a 2b2  4ab
Factor by grouping:
4. 3x2  9 x  4 x  12
5. 2 x2  5x  2 x  5
6. 3x2  18x  7 x  42
7. m2  8mn  3mn  24n2
Factor completely:
8. x2  13x  36
9. x2  2 x  48
10. x2  12 x  45
11. x2  6 x  5
12. x2  5x  6
13. 4 x2  24 x  64
14. 2 x2  11x  15
15. 3x2  13x  14
16. 5x2  28x  15
17. 2 x2  3x  35
18. 2 x2  7 x  72
19. 12 x4  60 x3  27 x2
20. 36 x 2  49 y 2
21. 121  144y 2
22. 27 x3  125
23. 64  y 3
Factoring Worksheet Answers:
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Did you remember to factor out the GCF first?
For problems #14-19, you should try to factor by trial & error first. I have shown the
method of grouping in the solutions since it is difficult to show the trial and error process.
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remember to factor out the GCF first?
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For problems #20-23, use the special formulas.
20. Difference of Squares:
21. Difference of Squares:
22. Sum of Cubes:
23. Difference of Cubes:
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Did you