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Mathematics
Problem
Before solving for the constants, which of the following is an appropriate partial–fraction setup for
5
x
+
4
(
x
+
2
)
2
\dfrac{5x+4}{(x+2)^2}
(
x
+
2
)
2
5
x
+
4
? a)
A
x
+
B
(
x
+
2
)
2
\dfrac{Ax+B}{(x+2)^2}
(
x
+
2
)
2
A
x
+
B
b)
A
x
+
2
\dfrac{A}{x+2}
x
+
2
A
c)
A
x
+
2
+
B
(
x
+
2
)
2
\dfrac{A}{x+2}+\dfrac{B}{(x+2)^2}
x
+
2
A
+
(
x
+
2
)
2
B
d)
A
(
x
+
2
)
3
+
B
(
x
+
2
)
2
\dfrac{A}{(x+2)^3}+\dfrac{B}{(x+2)^2}
(
x
+
2
)
3
A
+
(
x
+
2
)
2
B
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