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Factoring a Trinomial

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
x2 + 2x + 1
Answer
(x + 1)(x + 1)
step-by-step
2
x2 + 2xy + y2
Answer
(x + y)(x + y)
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3
3x2 + 7xy + 4y2
Answer
(x + y)(3x + 4y)
step-by-step
4
6 + 23k + 7k2
Answer
(2 + 7k)(3 + k)
step-by-step
5
j2 + -4j + -45
Answer
(j + 5)(j + -9)
step-by-step
6
p2 + 9p + -22
Answer
(p + -2)(p + 11)
step-by-step
7
m2 + -5m + 6
Answer
(m + -3)(m + -2)
step-by-step
8
q2 + -2q + 1
Answer
(q + -1)(q + -1)
step-by-step
9
y2 + -10y + 25
Answer
(y + -5)(y + -5)
step-by-step
10
u2 + -3uv + 2v2
Answer
(u + -1v)(u + -2v)
step-by-step
11
9k2 + 46k + 5
Answer
(9k + 1)(k + 5)
step-by-step
12
91 + 24q + -27q2
Answer
(13 + 9q)(7 + -3q)
step-by-step
13
4k2 + 28k + 49
Answer
(2k + 7)(2k + 7)
step-by-step
14
42x2 + 43x + -7
Answer
(6x + 7)(7x + -1)
step-by-step
15
6m2 + -13mn + 6n2
Answer
(2m + -3n)(3m + -2n)
step-by-step
16
12 + -7p + p2
Answer
(4 + -1p)(3 + -1p)
step-by-step
17
x4 + -2x2 + -3
Answer
(x2 + 1)(x2 + -3)
step-by-step
18
x4 + -1x2y2 + -2y4
Answer
(x2 + y2)(x2 + -2y2)
step-by-step
19
21 + 4k2 + -1k4
Answer
(3 + k2)(7 + -1k2)
step-by-step
20
3 + -10r2 + 8r4
Answer
(1 + -2r2)(3 + -4r2)
step-by-step
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