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Mathematics
Problem
Which statement correctly classifies the rational function
x
3
+
2
x
2
+
5
x
2
−
1
\dfrac{x^{3}+2x^{2}+5}{x^{2}-1}
x
2
−
1
x
3
+
2
x
2
+
5
? a) Proper because
deg
P
(
x
)
<
deg
Q
(
x
)
\deg P(x)<\deg Q(x)
de
g
P
(
x
)
<
de
g
Q
(
x
)
b) Proper because
deg
P
(
x
)
=
deg
Q
(
x
)
\deg P(x)=\deg Q(x)
de
g
P
(
x
)
=
de
g
Q
(
x
)
c) Improper because
deg
P
(
x
)
>
deg
Q
(
x
)
\deg P(x)>\deg Q(x)
de
g
P
(
x
)
>
de
g
Q
(
x
)
d) Proper because
deg
P
(
x
)
>
deg
Q
(
x
)
\deg P(x)>\deg Q(x)
de
g
P
(
x
)
>
de
g
Q
(
x
)
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