12/16/2011

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Factor completely.

1) 28x4 - 63 1)

A) 7(2x2 - 3)2 B) 7(2x2 - 3)(2x2 + 3)

C) (14x2 - 21)(2x2 + 3) D) 7(4x4 - 9)

Factor the polynomial completely.

2) 81k3m - 192m4 2)

A) (9km - 12m2)(9k2 + 16m2) B) 3m(27k - 4m)(k2 + 12km + 16m2)

C) 3m(3k - 4m)(9k2 + 12km + 16m2) D) 3m(3k + 4m2)(9k2 - 12km + 16km2)

Find the product or quotient.

3) z2 + 11z + 30 z2 + 12z + 35

÷ z2 + 6z z2 + 10z + 21

3)

A) z + 3 B) z z2 + 12z + 35

C) z + 3 z2 + 7z

D) z + 3 z Perform the indicated operations.

4) 2

4r2 - 7rs - 2s2 -

6

6r2 - 13rs + 2s2 +

9

24r2 + 2rs - s2 4)

A) -3r - 14s

(4r + s)(r - 2s)(6r - s) B) -3r - 26s

(4r + s)(r - 2s)(6r - s)

C) 45r - 14s

(4r + s)(r - 2s)(6r - s) D) 45r - 26s

(4r + s)(r - 2s)(6r - s)

Simplify.

5)

4 +

2

x x4 +

18

5)

A) 16 B) 16 x C) 1 D) x

16

Simplify the expression involving rational exponents.

6) -

64

125

-2/3

6)

A) -

16

25 B) not a real number

C) 25

16 D) 16

25

1

Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent positive real numbers.

7) b-5/6 n-7/4 2 n1/3 b1/7 -3

7)

A) b44/21 n9/2 B) n9/2 b44/21 C) b26/21 n5/2 D) n5/2 b26/21 Factor, using the given factor. Assume all variables represent positive real numbers.

8) 6s1/7 - 2s-3/7; s-3/7 8)

A) s1/7(6s4/7 - 22/1) B) s1/3(6 - 2s2/1)

C) s-3/7(6s4/7 - 2s) D) s-3/7(6s4/7 - 2)

Simplify the