Algebra II Support
Fall 2016
Final Exam
Name:_____________________________________
Per:_________
Multiple Choice
Factor the greatest common factor from each polynomial.
1. 3x + 9
a) 3
b) 6
c) 5
d) 2
2. 6x-15
a) 3
b) 6
c) 5
d) 2
3. 8y + 18
a) 3
b) 6
c) 5
d) 2
4. 2x3 – 6x2
a) 2x
b) 2x2
c) 3x
d) 3x2
5. y4 – y2
a) y
b) y4
c) y2
d) y3
6. 6n2 + 12n + 15
a) 2
b) 6
c) 5
d) 3
7. 8y2 – 10y + 12
a) 4
b) 5
c) 6
d) 8
8. 5x3 - 6x2 +7x
a) x
b) x2
c) x3
d) x4
9. 4y5 – 8y4 -2y2
a) 4y
b) 4y2
c) 2y2
d) 2y
10. 15x4 +10x2 – 5x
a) 5
b) 10
c) 5x
d) 10x
Factor each polynomial into two binomials.
11. a2 + 12a + 27
a) (a+5)(a-1)
b) (a-5)(a+1)
c) (a+3)(a+9)
d) (a-3)(a-9)
12. a2 + 4a - 5
a) (a+5)(a-1)
b) (a-5)(a+1)
c) (a+3)(a+9)
d) (a-3)(a+9)
13. m2 -8m – 33
14. m2 -6m +5
a)
b)
c)
d)
(m–11)(m+3)
(m+11)(m-3)
(m-5)(m-1)
(m+5)(m+1)
15. y2 + 21y + 110
a) (y+11)(y+10)
b) (y-11)(y-10)
c) (y-3)(y+1)
d) (y-3)(y-1)
a)
b)
c)
d)
(m-11)(m+3)
(m+11)(m-3)
(m-5)(m-1)
(m+5)(m+1)
16. y2 - 4y + 3
a) (y+11)(y+10)
b) (y-11)(y-10)
c) (y-3)(y+1)
d) (y-3)(y-1)
17. The area of a certain rectangle is 5n2 – 6n -27. Which factors are the width and length of the
rectangle?
a) (5n + 3)(n-9)
b) (5n-3)(n+9)
c) (5n+9)(n-3)
d) (5n-9)(n+3)
18. If the area of a certain rectangle is 6m2 -2m -28, and the length is (2m+4), what is the width?
a. (3m+7)
b) (4m-7)
c. (4m+7)
d) (3m-7)
Free Response
Factor completely.
19. y2 -9
20. x3 +8y3
21. 2x2 – 2x -12
22. x3 - 3x2 + 4x – 12
Factor each polynomial into two binomials.
23. 3x2 + 10x – 8
24. 5x4 – 125
25. -x2 + 6x - 8
26. 81a9 – 3b6
27. ac + ad + bc + bd
28. c2 -2c + 1
Answer the following word problems.
29. The area of a rectangle is 3a2 + 5a -28. If the length is (a+4), find the width.
30. The area of a rectangle is (x2 -12x +35). If the length is (x-5), find the width. (Hint: “x5” times “something” will give you “x2-12x+35”