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Examples
Step-by-Step Examples
Factoring Polynomials
Factor by Grouping
x
3
+
4
x
2
+
3
x
+
12
x
3
+
4
x
2
+
3
x
+
12
Step 1
Factor
out the
greatest common factor
from each group.
Tap for more steps...
Step 1.1
Group the first two
terms
and the last two
terms
.
(
x
3
+
4
x
2
)
+
3
x
+
12
(
x
3
+
4
x
2
)
+
3
x
+
12
Step 1.2
Factor
out the
greatest common factor
(
GCF
) from each group.
x
2
(
x
+
4
)
+
3
(
x
+
4
)
x
2
(
x
+
4
)
+
3
(
x
+
4
)
x
2
(
x
+
4
)
+
3
(
x
+
4
)
x
2
(
x
+
4
)
+
3
(
x
+
4
)
Step 2
Factor
the
polynomial
by
factoring
out the
greatest common factor
,
x
+
4
x
+
4
.
(
x
+
4
)
(
x
2
+
3
)
(
x
+
4
)
(
x
2
+
3
)
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x
2
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2
√
π
∫
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d
x
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[
x
2
1
2
π
∫
x
d
x
]
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