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Factoring and Solving Quadratic Equations Worksheet
Math Tutorial Lab Special Topic∗
Example Problems
Factor completely
...
2x3 − 16x2 − 18x
1
...
4x2 + 16x
10
...
x2 − 14x − 40
11
...
x + 4x − 12
12
...
x2 − 144
13
...
x4 − 16
7
...
125x3 − 64
8
...
2x3 + 128y 3
Solve the following equations
...
(x − 4)2 − 9 = 0
21
...
(x − 10)2 − 48 = 0
22
...
x2 + 14x + 45 = 0
23
...
x2 + 6x − 10 = 30
24
...
4x2 − 100 = 0
25
...
3(x + 12)
2
...
(x − 10)(x − 4)
4
...
(x + 12)(x − 12)
6
...
(9x + 7)(9x − 7)
8
...
2x(x − 9)(x + 1)
10
...
(−8x + 1)(x + 2)
12
...
(5r − 3)(s + 5)
14
...
(x + 4y)(x2 − 4xy + 16y 2 )
16
...
x = 10 ± 4 3
18
...
x = 4 and x = −10
20
...
x = 9 and x = −1
22
...
x =
24
...
x = 2, x = −2, and x = 5
2