How do you factor x^4+3x^2+4
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Algebra Examples
Popular Problems Algebra Factor x^4-3x^2-4
x
4
−
3
x
2
−
4
Rewrite
x
4
as
(
x
2
)
2
.
(
x
2
)
2
−
3
x
2
−
4
Let
u
=
x
2
. Substitute
u
for all occurrences of
x
2
.
u
2
−
3
u
−
4
Factor
u
2
−
3
u
−
4
using the AC method.
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(
u
−
4
)
(
u
+
1
)
Replace all occurrences of
u
with
x
2
.
(
x
2
−
4
)
(
x
2
+
1
)
Rewrite
4
as
2
2
.
(
x
2
−
2
2
)
(
x
2
+
1
)
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
and
b
=
2
.
(
x
+
2
)
(
x
−
2
)
(
x
2
+
1
)
I hope you are understand my solution
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