Factoring Review Worksheet

Algebra
Factoring Review
Vocabulary:
Standard form
Degree of the polynomial
Classification by the number of terms
Factor completely
Roots
Find the sum. Give all answers in standard form.
– 7r
+ r – 9 and r
– 2r
– 6x –3 and –8x
–7x
– 7
4
2
4
3
2
3
2
3
2
1. 3r
+ 5r
+ 1
2. 5x
+ 4x
Find the difference.
– 5x
–2x
– 3
– 4y + 3 from –5y
3
2
5
3
2
3
2
3
3. x
+ 7 from x
+ 3x
4. 8y
+7y
+ 3y + 8
Simplify.
– 1)
6. (4p – 3)
7. (5t – 3)(2t + 2)
2
2
2
5. 6y
(3y
8. (3x – 2)(4x
10. (4d + 5e)(3d – e)
2
2
+ 3x + 2)
9. (3x + 4y)
11. (3a – 8)(7a
– 8a + 4)
12. (2x – 3)9x + 4)(3x – 8)
2
Factor each polynomial completely.
– 35a
– 36x + 36
– 9b
3
2
2
2
4
13. 7a
+ 28a
14. 9x
15. 25a
– 50x + 48
+ 7x – 30
– 28x + 15
2
2
2
16. 12x
17. x
18. 12x
– 3x – 10
+ 11x – 10
2
2
2
19. 18x
20. 6x
21. 4x
+ 15x + 9
Solve by factoring.
– 2a = 15
– 30 = x
– 13x = –20
2
2
2
22. a
23. x
24. 2x
– 9 = 0
– x = 0
2
2
2
25. 6x
+ 16x + 8 = 0
26. u
27. 3x
– 5x – 6 = 0
+ 4x – 8 = 0
2
2
28. 4x
29. 24x
30.
3
2
2
x
16
x
0