Download Module 15-16 Review.

Name ________________________________________
Module 15-16 Review.
1. Factor x 2  12x  35.
9. Solve 36x2  25  0.
A (x  1) (x  35)
B (x  5) (x  7)
2. Factor 2x  23x  11.
2
A 6  5i
F (x  1) (2x  11)
G (2x  1) (x  11)
3. Determine whether x  16 is a
difference of two squares.
If so, choose the correct factorization.
2
B 
5
i
6
6
D 5  6i
i
5
10. Use the Quadratic Formula to
solve x2  4x  6  0.
C 
B yes; (x  4) (x  4)
A yes; (x  4) 2
C yes; (x  4)
D no
4. Find the minimum or maximum
of g(x) x2  2x  8.
2
F 4  2i 2
G 2  i 2
11. For the discriminant  7   4  5  3, identify the
2
F maximum of (0, 8) G minimum of (1, 9)
5. Find all zeros of the trinomial
k(x)  x2  2x  24.
A 6, 4
B 4, 6
C 8, 3
D 8, 3
6. Solve 81x2  1.
number of solutions and
their type(s).
A 2 complex solutions
B 1 real and 1 complex solution
C 2 real solutions
D 1 complex solution
12. Factor x 2  10x  21.
1
G x  9
9
7. Identify the vertex of g(x)  (x  10)2  2.
F x
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13. Solve 7x 2  29x  4=0.
A (10, 2)
B (10, 2)
8. Complete the square to write
c(x)  x2  6x  14 in vertex form.
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F c(x)  (x  3)  5
H c(x)  (x  3)2  23
2
G c(x)  (x  3)  14
J c(x)  (x  6)2  14
2
Name ________________________________________
14. Determine whether the binomial is a difference
of two squares. If so, factor it. If not, explain why.
x 2  100
18. Identify the vertex of
g(x)  (x  11)2  4.
19.Complete the square to write the quadratic
equation c(x)  x2  8x  26 in vertex form.
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15. State whether there is a minimum or maximum
1
of g  x   x 2  6 x  32
2
and identify it.
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20. Solve 49x2  100  0.
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16. Find all zeros of the trinomial
k(x)  2x2  5x  25.
21. Use the Quadratic Formula to solve
x2  6x  58  0.
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17. Solve 225x2  9.
22. For the discriminant  30   4  9  26, identify
2
the number of solutions and their type(s).
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