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Chp 3.4: 34
Multiply
= 4w2 - 7w + 20w - 35
= 4w2 + 13w - 35
Chp 3.5: 34
Find each of the following products.
= 36s2 + 30st - 30st - 25t2
= 36s2 - 25t2
Chp 4.4: 50
Factor the following trinomials.
= (x+3)(x+3)
Chp 4.6: 60
Rewrite the middle term as the sum of two terms and then factor
completely.
= x2 - 8xy + 12y2
= x2 - 6xy - 2xy + 12y2
= x(x - 6y) - 2y(x - 6y)
= (x-6y)(x-2y)
Chp 5.4: 32,
Add or subtract as indicated. Express your result in simplest form.
5( x  2)
2( x  1)
5( x  2)  2( x  1) 5 x  10  2 x  2
7x  8



 2
( x  1)( x  2) ( x  1)( x  2)
( x  1)( x  2)
( x  1)( x  2)
x  x2
34
5( x  1)
3( x  4)
5( x  1)  3( x  4) 5 x  5  3x  12
2 x  17



 2
( x  4)( x  1) ( x  4)( x  1)
( x  4)( x  1)
( x  4)( x  1)
x  3x  4
Chp 5.7: 24,
Simplify each complex fraction.
x2
1
x  2 1
x3

x3
x3
x2  9
x2 x2 
x2
 2 x2


x( x  3)
18
x( x  3)  18 x  3x  18 x  2 x 2  3x  18 x 3  x 2  24 x  36

x3
x3
x3
x3
26
1
1
y 1

y y
 1
1
y
y 1
y
y 1 y 2y 1
 1




y 1
y 1 y 1 y 1
y 1
y 1
y
Chp 9.4: 34
Perform the indicated multiplication. Then simplify each radical expression.
 7 7  5 7  5 7  25
 7  25
 18
Chp 10.5: 34
Science and medicine. When will the ball reach a height of 95 m?
95 = -5t2 + 25t + 80
t2 - 5t + 3 = 0
5  13
2
t  4 .3
t
or
t  0 .7
So the ball first reaches 95 m after 0.7 seconds when it's rising. Then it passes from the
same height after 4.3 seconds when it's falling.