# Chapter 6 Test Review

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```					                                   Chapter 6 Test Review
Simplify the expression.
1. (32 x 2 ) 4                                                     1. 1,048 ,576 x 8
x8
2.                                                                 2. x 3
x5
1
3. (6 x 3 y 4 ) 2                                                 3.
36 x 6 y 8
2 x 3 y 5                                                        2x3
4.                                                                 4.
3 x  6 y 3                                                       3y 2
x10 9 x 2 y 2                                                      3x 8
5.                                                                5.
3y 4 x 4 y 3                                                        y5

Find the sum or difference.
6. (10 x 2  29 x  8)  (15 x 3  9 x 2  7 x  8)                6. 15x 3  19 x 2  22 x  16
7. (5 x 3  2 x 2  7)  (8 x 2  11)                              7. 5 x 3  10x 2  18

Find the product of the polynomials.
8. 6 x(2 x 3  4 x 2  7)                                          8. 12x 4  24x 3  42x
9. ( x  12 )( 2 x 2  3 x  5)                                    9. 2 x 3  21x 2  31x  60
10. (5  3x)(x  1)(x  6)                                         10.  3x 3  16x 2  17 x  30
11. (2 x  8) 3                                                    11. 8x 3  96 x 2  384x  512

Factor the polynomial.
12. x 3  27                                                       12.    ( x  3)( x 2  3x  9)
13. x 3  5 x 2  8 x  40                                         13.    ( x  5)( x 2  8)
14. 3x 5  6 x 3  45x                                             14.    3 x( x 2  5)( x 2  3)
15. 256x 5  81x 3                                                 15.    x 3 (16 x  9)(16 x  9)

Divide.
5
16. (10 x 3  27 x 2  14 x  5)  ( x 2  2 x)                    16. 10 x  7 
x  2x  2

17. ( x 4  16 x 2  x  4)  ( x  4)                             17. x  4 x  1
3     2

Given one zero of the polynomial function, find the other zeros.
2 1
18. f ( x)  15 x 3  119 x 2  10 x  16 ; 8                      18.  ,
5 3
Find all of the zeros of the function.
19. f ( x)  x 3  9 x 2  4 x  36                                  19. -9, -2, 2
20. f ( x)  x 4  x 3  2 x 2  4 x  8                             20. -2, 1,  2i

Use the given zeros to write the function.
21. -3, 1, 3                                                         21. x 3  x 2  9 x  9
22. 5i, -5i, -2                                                      22. x 3  2 x 2  25x  50

23. A candy factory needs a box that has a volume of 30in.3. The width should be 2 inches less
than the height and the length should be 5 inches greater than the height. What should the
dimensions of the box be? (3.16” X 1.16” X 8.16”)
24. A company is designing a keepsake box to be sold during the holidays. The width of the
box is to be 2 inches smaller than the length. The height of the box is to be 4 inches smaller
than the length. If the volume of the box is to be 48 in3, find the dimensions of the box.
(6” X 4” X 2”)
25. A candy factory needs a box that as a volume of 56in3. The width must be 1 inch less than
the length and the height will be 7 inches less than the length. Find the dimensions of the
box. (8” X 7” X 1”)

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