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Mathematics
Problem
For each of the following functions, state whether it is a polynomial function or a rational function and write all excluded value(s), if any: a.
p
(
x
)
=
x
2
+
4
x
+
4
x
+
2
p(x)=\dfrac{x^{2}+4x+4}{x+2}
p
(
x
)
=
x
+
2
x
2
+
4
x
+
4
b.
q
(
x
)
=
x
3
−
8
x
−
2
q(x)=\dfrac{x^{3}-8}{x-2}
q
(
x
)
=
x
−
2
x
3
−
8
c.
r
(
x
)
=
x
2
+
1
5
r(x)=\dfrac{x^{2}+1}{5}
r
(
x
)
=
5
x
2
+
1
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