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College Prep - Advanced Factoring
Factor: 2a4 + 2a2 - 180
Factor: x4 + 7x2 + 6
College Prep - Advanced Factoring
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Answers
1
Factor: x
4
+ 7x
2
+ 6
not factorable
(x2 + 1)(x2 + 6)
(x2 + 2)(x2 + 3)
(x2 +9)(x2 -2)
2
Factor: 2a
4
+ 2a
2
- 180
2(a - 3)((a + 3)(a2 + 10)
2(a2 - 3)(a2 + 30)
2(a2 - 2)(a2 + 45)
(a2 + 18)(a2 - 5)
3
Solve: 2x
4
+ 19x
2
+ 9 = 0
i√3, -i√3, i√2/2, -i√2/2
i√10, -i√10, i√2/2, -i√2/2
3i, -3i, i√2/2, -i√2/2
3i, -3i, i 1/2, -i 1/2
4
x
4
- 2x
2
- 8 = 0
i√2, -i√2, -3, -2
i√3, -i√3,, 2, -2
i√2, -i√2, 2, -2
i, -i, 2, -2
5
x
4
+ x
2
- 30 = 0
√10/2, -√10/2, i√6, -i√6
√5, -√5, i√6, -i√6
i√7, -i√7, i√6, -i√6
√5, √5, i√5, -i√5
6
Factor: 128mn + 224m
2
- 80n - 140m
4(8m - 5)(4n + 7m)
60m(8m - 5)
4(8m - 5)(4n - 5)
15m(4n - 5)
7
Factor: 48p
2
- 3
(8p + 1)(8p -1)
3(4p -1)2
3(4p + 1)(4p -1)
not factorable
8
Factor completely: 375 - 192a
3
3(5 - 5a)3
3(5 - 4a)(5 + 4a)
3(5 + 4a)(25 - 20a + 16a2)
3(5 - 4a)(25 + 20a + 16a2)
9
Solve: 2x
3
- 2x
2
+ 5x - 5 = 0
1, i√2, -i√2
1, i√14/2, -i√14/2
-2, i√10/2, -i√10/2
1, i√10/2, -i√10/2
10
3x
4
+ 19x
2
+ 6 = 0
i√3/3, -i√3/3, i√3, -i√3
i√3/3, -i√3/3, 2i√2, -2i√2
i√2/2, -i√2/2, i√6, -i√6
i√3/3, -i√3/3, i√6, -i√6
11
Factor: -4x
2
- 64x - 252
5(x + 3)2
-4(x - 9)(x + 7)
-4(x - 9)(x - 7)
-4(x + 9)(x + 7)
12
x
3
- 25x = 0
0, 5/3, -5
0, 5, -5
0, 5, -3
0, -6, -5
13
Factor Completely: 14n
2
+ 22n - 12
2(7n + 2)(n - 3)
2(n - 3)(7n - 2)
2(7n - 3)(n - 2)
2(7n - 3)(n + 2)
