Express x^2 +7x+12/x^2+2x-3
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Algebra Examples
Popular Problems Algebra Simplify (x^2-7x+12)/(x^2-2x-3)
x
2
−
7
x
+
12
x
2
−
2
x
−
3
Factor
x
2
−
7
x
+
12
using the AC method.
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Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
12
and whose sum is
−
7
.
−
4
,
−
3
Write the factored form using these integers.
(
x
−
4
)
(
x
−
3
)
x
2
−
2
x
−
3
Factor
x
2
−
2
x
−
3
using the AC method.
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Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
−
3
and whose sum is
−
2
.
−
3
,
1
Write the factored form using these integers.
(
x
−
4
)
(
x
−
3
)
(
x
−
3
)
(
x
+
1
)
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
(
x
−
4
)
(
x
−
3
)
(
x
−
3
)
(
x
+
1
)
Rewrite the expression.
x
−
4
x
+
1