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# Factoring Completely

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