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Math 169 – 01: Quiz #1 (1.4, 1.6, 1.7)
Name:
Fall 2012
Show all of your work to receive full credit. Correct answers with no work may not get full points.
1. Completely factor each of the following.
(8 points each)
(a) 6x 3 ! 9x
(b) 4x 3 y + 6xy 4 !10x 2 y 5
(c) x 2 +11x + 30
(d) 2x 2 ! 7x ! 4
(e) x 2 ! 64
(f) 8x 3 ! 27y 3
(g) 4x 3 + 24x 2 + 36x
(h) 4x 3 !100x
(i) 4x 2 ! 25x ! 21
(j) 6x 2 !11x !10
2. Simplify each of the following. Answers should have no negative exponents.
(a) x 3 ( x 2 )
( x y)
( xy )
2
(c)
4
3
2
(b) ( 2x ) (3y) ( x 4 )
4
(d)
3 2
(8 points each)
2
6x !2 y 5
8x 4 y !3
!2
(e) ( 2x 4 y !3 )
!2
" !4xy %
(f) $ 3 '
# y &
3. Simplify each of the following. Assume all variables have positive value.
24x 3 y 2 z 7
(a)
(b)
3
54x 8 y 4 z12
(8 points each)