Name _____________________________________________
Factoring Unit
Period ____
YOU MUST DO ALL WORK ON A SEPARATE SHEET OF PAPER ~ DO NOT SHOW WORK ON THIS PAGE !!!
Day 2
Find 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
Day 3
Factor by grouping
1. 8r3 - 64r2 + r – 8
2. 12p3 – 21p2 + 28p – 49
3. 12x3 + 2x2 – 30x – 5
4. 6v3 – 16v2 + 21v – 56
5. 63n3 + 54n2 – 105n – 90
6. 21k3 – 84k2 + 15k – 60
7. 25v3 + 5v2 + 30v + 6
8. 105n3 + 175n2 – 75n – 125
9. 96j3 – 84j2 + 112j – 98
10. 28r3 + 16r2 - 21r – 12
11. 4v3 – 12v2 – 5v + 15
12. 49x3 – 35x2 + 56x – 40
13. 24p3 + 15p2 – 56p – 35
14. 24r3 - 64r2 – 21r + 56
Day 4
Factoring a=1, a>1, and difference of 2 squares
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 + 12x + 36
11. x2 – 18x + 81
12. x2 + 16x + 64
13. x2 – 10x + 25
14. x2 + 10x + 25
15. x2 - 14x + 49
16. x2 – 6x + 9
17. x2 – 4x + 4
18. x2 – 9
19. x2 – 36
20. 16x2 – 1
21. 49x2 – 1
22. 9x2 – 16
23. x2 – y2
24. 4x2 – 36
25. 36x2 – 49
26. 9 – x2
27. 625y4 – 16z4
28. 2x2 – 32
29. 2x2 + 5x – 12
30. 6x2 -13x – 28
31. 3x2 - 23x +30
32. 10 x2 – 42x +4
33. 4x2 - 8x +3
34. 6x2 + 19x +10
35. 6x2 + 5x +1
36. 4x2 + 4x – 3
37. 3x3 – 9x2 – 30x
38. 5x3 + 30x2 + 45x
39. 2x2 + 8x – 10
40. 3x2 + 24x + 48
YOU MUST DO ALL WORK ON A SEPARATE SHEET OF PAPER ~ DO NOT SHOW WORK ON THIS PAGE !!!
Day 5
Factoring to Solve
1) (3n− 2)(4n+ 1)= 0
2) m(m− 3)= 0
3) (5n− 1)(n+ 1)= 0
4) (n+ 2)(2n+ 5)= 0
5) 3k2+ 72 = 33k
6) n2= −18 − 9n
7) 7v2− 42 = −35v
8) k2= −4k− 4
9) −2v2− v+ 12 = −3v2+ 6v
10) −4n2+ 6n− 16 = −5n2
11) 8r2+ 3r+ 2 = 7r2
12) b2+ b= 2
13) 2x2 + 13x + 21 = 0
14) 20x2 - 6x - 8 = 0
15) 14x2 - 45x - 14 = 0
16) 10x2 + 24x + 14 = 0
17) - 28x2 + 3x + 18 = 0
18) - 21x2 - 8x + 5 = 0
19) - 6x2 + 15x - 9 = 0
20) 28x2 - 54x + 18 = 0