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CW 6.03
Factor each polynomial completely.
1.
x  2y  x  2z
2.
x 2 x  8  4x  8
3.
y y  4   y  4
4.
x 3  3x 2  4 x  12
5.
6 x 2  2ax  3bx  ab
6.
2 x 2  ax  2bx  ab
7.
25 x 2  10 x  3
8.
5x 2  3x  20 xy  12 y
9.
2x2  7x  3
10.
3 x 2  10 x  3
11.
2 x 2  7 x  15
12.
6 x 2  x  15
13.
4 x 2  21x  5
14.
2 x 2  5 x  12
15.
5x 2  6x  1
16.
6x2+7x - 3
17.
9x2 + 3x - 2
18.
8x2 + 33x + 4
19.
5 x 2  20 x  20
20.
15 x 2  18 x  3
21.
8 x 2  20 x  48
22.
7 x 2  42 x  63
23.
5 x 2 y  35 xy  60 y
24.
x4  x2 y2
25.
8x2 – 8
26.
3x4 + 18x3 + 24x2
27.
12x5 – 108x3
Use factoring and the zero property of multiplication to find the x-intercepts of the following quadratic
functions.
28.
y = 30 x 2  6 x  35 x  7
29.
y = 2x2  x  6
30.
y = 6x 2  5x  6
31.
y = x2 – 10x + 25
32.
y = x2 +18x + 45
33.
y = 25x2 + 40x + 16
Use factoring and the zero property of multiplication to solve the following quadratic equations.
34.
x2x  1  82x  1  0
35.
4x 2  4x  3
36.
10 x 2  21x  10
37.
4x2 – 44x + 121 = 0
38.
x2 +7x = 78
39.
36x2 = –12x – 1