Polynomials and Rational Expressions HW 5-5B
Pg. 174/3-55 eoo, not 47
Factor each polynomial. Assume that n denotes
a positive integer.
3) x 2  121
Name_________________________ No._____
51) x 2 n  y 2 n
55) x 4  x 2  1 (Hint: add and subtract x 2 .)
7) 12 x 3  3 x
11) 81a 2  9b 2
15) x 2  20 xy  100 y 2
Pg. 179/3-43 eoo
Factor completely. If the polynomial is prime,
so state.
3) t 2  9t  18
7) u 2  12u  36
19) 16 xy 4  2 x 4 y
11) 12s 2  s  1
23) x  y 1  2 1  y 
27) 2 xy  2  4 x  y
15) x 2  xy  20 y 2
19) 2t 2  5t  2
23) 4 s  5s 2  1
31) u 2  v 2  4u  4
27) 6u 2  2uv  v 2
35) x 6  27
31) 6t 2  t  15
35) 6h 2  7 hk  20k 2
39) a 6  b 6
39) 6x 3  x 2  x
43)
 x  1
3
1
43) x 4  5 x 2  4
Polynomials and Rational Expressions HW 5-5B
Pg. 190-91/8, 25
8) The top of a 20-foot ladder is 4 feet farther
up a wall than its foot is from the bottom of the
wall. How far is the foot of the ladder from the
wall?
Use the formula h  k  vt  4.9t 2 . It gives the
approximate height h in meters of an object t
seconds after it is projected upward from a
height of k meters at an initial upward speed of
v m/s.
25) A rocket is moving vertically with speed
68.6 m/s at an altitude of 500 m when its fuel is
exhausted. How many seconds will elapse
before the rocket is again at 500 m altitude?
Name_________________________ No._____
23)
 ab 
m
ab m
Pg. 210/19, 23, 27, 35
Express in simplest form without negative or
zero exponents.
p 2 q 3
19) 4 5
q r
23)  a 1 z 2 
3
 2x 1 
27) 

 y 
3
u  u 1 
35) 2  2 
v v 
1
Pg. 196/12, 18
Find and graph the solution set of each
inequality.
12) x  x  3  4
Pg. 220/31
Simplify.
x3  x 2 y  xy 2  y 3
31)
x2  y 2
18) x 3  3 x  4 x 2
Pg. 224/22
Write as a single fraction in lowest terms.
 u 2  4uv  4v 2 
u 2  5uv  6v 2

u

2
v

22) 2



u  4uv  3v 2
uv


Pg. 205/19, 23
Simplify. Assume that no denominator is 0 and
that all variables in exponents denote positive
integers. Assume also that m and n are integers
greater than 1.
 x yz 
 xyz 
2
19)
2
2 2
1