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Mathematics
Mathematics
Problem
Express
x
3
−
4
(
x
−
1
)
(
x
+
2
)
\frac{x^{3}-4}{(x-1)(x+2)}
(
x
−
1
)
(
x
+
2
)
x
3
−
4
in the form
S
(
x
)
+
A
x
−
1
+
B
x
+
2
,
S(x)+\frac{A}{x-1}+\frac{B}{x+2},
S
(
x
)
+
x
−
1
A
+
x
+
2
B
,
where
S
(
x
)
S(x)
S
(
x
)
is a polynomial. Find
S
(
x
)
S(x)
S
(
x
)
,
A
A
A
and
B
B
B
.
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