Factoring WS I
Factor, write prime if prime,
1. xÿ+6x+8
12, xS-x-6
2, cS+5c+6
13, yÿ+3y-18
3, yÿ-9y+14
14, bÿ+7b-18
4, xÿ-10x+16
15, aÿ+a-56
5, aÿ+12a+27
16, cÿ-4c-12
6. xÿ-14x+24
17, xÿ-9x-36
7, xÿ-15x+36
18, yÿ+4y-21
8, yÿ+21y+54
19, xÿ-22x-75
Q, mÿ+13m-36
20, xÿ-3x-40
10, xÿ-8x+15
21, 45+14y+yÿ
11, yÿ-4y-32
22, xÿ-13x+36
Factoring WS 2
Factor, write prime if prime,
1, x2+7x+12
11, 51-20k+ k2
2, m2+10m+21
12, a2-14ab+24b2
3, y2- 7y- 8
13, y2+6y_72
4, x2-6x +5
14, x2 - 1 lxy - 601/2
5, x2 + 4x-32
15, 15r2 + 2rs - s2
6, x2 - 2x - 15
16, 3x2 + 2 lxy - 54y2
(Hint: Check for GCF)
7, x2-6x + 8
17, x2 - 5xy - 6y2
8, y2+9y+ 18
18, x2+8xy+12y2
9, 3-4t +t2
19, y2 _ 7xy + 10x2
10, v2+12v+20
20, a2-11ab-60b2
Factoring WS 3
Factor, write prime if prime.
1, 2x2- 5x- 3
11, 2n2-3n-14
2, 3x2+ 10x-8
12, 5n2 +2n + 7
3, 2y2+ 15y+7
13, lOx2+13x-30
4, 7a2- 11a +4
14. 12y2+7y+ 1
5, 5n2+17n+6
15, 2n2+9n-5
6, 4y2 + 8y + 3
16. 2x2 + 7x + 6
7, 3x2 + 4x- 7
17, 5a2- 42a -27
8. 2x2+13x+15
18, 15x2- 28x-32
9, 9y2 + 6y- 8
19. 8a2- lOa +3
10, 6x2-7x-20
20. 2y2-3y-20
Factoring WS 4
Factor, write prime if prime,
1, 3x2+4x+1
9, 2a2 + 7ab- 15b2
2, 5z2 .+ 7z + 2
10, 12x2+ 17x+6
3, 2n2-11n+5
11, 4a2-4ab-5b2
4, 3z2 +z-2
12, 56y2 + 15y - 56
5, 5h2- 2h - 7
13, 12x2 - 29xy + 14y2
6, 8s2- lOst + 3t2
14, 64x2 + 32y - 2 ly2
7, 6x2+19x+15
15, 16x2 + 56xy + 49y2
8, 28a2 + 5ab - 12b2
16, 18x2- 57x + 35
Factoring WS
Factor. write prime If prime,
1, X2-1
12. ÿx2 + 16
2, x2-9
13,. 36m2- 121
3, X2+4
14, 2x2-8
4, x2- 25
15, 25+4x2
5, 9y2- 16
16, 4a2 - 81 b2
6, 4x2- 25
17, 12x2 - 75
7, 9x2- 1
18, a2b-b3
8, a2-x2
19. -98 + 2x2
9, 25 - m2
20, 5X2- 45y2
10, x2- 16y2
11, 25m2- n2
21, 9x4-4
22, 16x4 ÿ y2
Factoring WS 6
Factor. write prime if prime,
1. x2+Sx+ 16
11. 25a2+60a+36
2, x2ÿ 16x + 64
12, 16 ÷40x +25x2
3, y2+ 12y+36
13, 16x2+24x+9
4, a2-10a+25
14, 49x2 - 14x + 1
5, 16y2+8y+1
15, 9y2 - 30y + 25
6. 9x2 - 6x ÷ ]
16, n2+2n +4
7, 25x2+i0x+1
17, b2+2b+ 1
8, n2-14n+49
18, 36x2 + 84x + 49
9, 81xÿ- 90x + 25
19, 81-18x+x2
10, 4y2- 20y + 25.
20, 4 - 12y + 9y2
Algebra II
ame
Period
Date
Factoring Cubes WS
Factor completely
1. x3+8
2. 8x3 - 27
3. 5x3 + 5
4. x3 - 64
5. 125X3 -- 27
6, 216x3 + 1
7. 2X3 -- 54
8. 24x3 + 3
10. X3
11. X3 -I- 8
27
12, X3
13. 8X3 -- y3
1
27
14. a3 -- b3
15. 64x3 ÷ 27y3
27
64
16. 24X3 -- 192y3
17. 24x3 - 36x2 +10x-15
20. 36x2 - 49
23. 28X2 + 13x - 6
18. 30x3 - 40x2 + 9X - 12
21. ix2 - l
2
2
24, 15x2 - 8x + 1
19. 81x2 - 4
22. 12x2 + 36x + 27
25. 125X3 -- 64y3
Name
Date
Period
Factoring WS 9
Show all work on a seporate sheet of paper.
Factor by grouping:
1. x2(x+3)+2(x+3)
2. x3 (x - 7) + 9(x - 7)
3, 3m5-15m3 +2m2-10
4. 3x3-6x2-x+2
5. 4x3-6x2-6x+9
6. 8t3 +2t2 +12t+3
7. 6z3 + 3z2 + 2z + 1
8, 2X3 +6x2 +x+3
9. 8x3-12x2+6x-9
10. 12x3-16x2 +3x-4
11. 5X3 -- 5X2 -- x ÷ l
12. x3+8x2-3x-24
13. 2x3-8x2-9x+36
14. 4x5 + 6x3 + 6x2 + 9
15. 4X3 +4X2+X+l
16. 5x3+20x2+x+4
17. 15x3- 20x2 + 3x - 4
18. 3×3 - 6x2 - 5x + 10
Factor Completely:
19. 5-- 20X6
22. 2x2-5x-3
25. x2 -7x+12
28. 4x2 -9y2
21. 36a2+96ab+64b2
20. 16x2 - 40x + 25
23. 5x2-42x-27
24. x2-x-56
27. -17x ÷ 2x2+ 35
26. x2+ 8xy + 12y2
29. 3x2-27
30. 4x2-32x+60
Find the area of the following:
31. A rectangle with dimensions (3x + 2) feet and (2x - 7) feet.
32. A rectangle with dimensions (3x) inches and (2x -5) inches.
33. A square with side (3x - 7) feet.