The partial fraction decomposition of x
2
+
11
(
x
−
3
)
(
x
2
+
4
)
x
2
+
11
(
x
-
3
)
(
x
2
+
4
)
can be written in the form of
f
(
x
)
x
−
3
+
g
(
x
)
x
2
+
4
.
f
(
x
)
x
-
3
+
g
(
x
)
x
2
+
4
.

The possible anwsers for
f
(
x
)
f
(
x
)
and
g
(
x
)
g
(
x
)
are (a)
A
A
, a constant, or (b)
A
x
+
B
A
x
+
B
, a linear function

(2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4) (2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4) (2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4) (2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4) (2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4) (2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4) (2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4)