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Factoring Completely

Answers

This page shows the final answer to each problem.  You may return to the Worksheet Page to quiz yourself or have your answers checked automatically.  If you would like assistance with a particular problem, click the " step-by-step" link for an in depth solution.

1
x3 + -1x
Answer
x(x + -1)(x + 1)
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2
x3 + 5x2 + 6x
Answer
x(x + 2)(x + 3)
step-by-step
3
4y2 + -8y + -60
Answer
4(y + 3)(y + -5)
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4
3q2 + -12q + 12
Answer
3(q + -2)(q + -2)
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5
3m3 + 33m2 + 90m
Answer
3m(m + 5)(m + 6)
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6
4x2 + 8xy + 4y2
Answer
4(x + y)(x + y)
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7
4kx2 + -4ky2
Answer
4k(x + y)(x + -1y)
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8
m4 + -1
Answer
(m + 1)(m + -1)(m2 + 1)
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9
p4 + -2p2 + 1
Answer
(p + -1)(p + 1)(p + 1)(p + -1)
step-by-step
10
abc2 + 6abc + 5ab
Answer
ab(c + 1)(c + 5)
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11
24x2 + 68x + 48
Answer
4(2x + 3)(3x + 4)
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12
4x2y + 12xy2 + 9y3
Answer
y(2x + 3y)(2x + 3y)
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13
3mx2 + -5mx + -28m
Answer
m(3x + 7)(x + -4)
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14
21k + -98k2 + -343k3
Answer
7k(1 + -7k)(3 + 7k)
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15
4p4 + -5p2 + 1
Answer
(2p + 1)(2p + -1)(p + 1)(p + -1)
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16
36r4 + 29r2 + -20
Answer
(3r + 2)(3r + -2)(4r2 + 5)
step-by-step
17
108s6 + 42s4 + -6s2
Answer
6s2(3s + 1)(3s + -1)(2s2 + 1)
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18
144uv4 + -388uv2 + 144u
Answer
4u(2v + 3)(2v + -3)(3v + 2)(3v + -2)
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19
6m3n + -9m2n2 + -15mn3
Answer
3mn(m + n)(2m + -5n)
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20
2p3x + p2x + -28px
Answer
px(p + 4)(2p + -7)
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