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Mathematics
Mathematics
Problem
Let
F
(
x
)
F(x)
F
(
x
)
be an antiderivative of
(
m
x
2
+
n
)
(m x^{2} + n)
(
m
x
2
+
n
)
. If
F
(
0
)
=
0
F(0)=0
F
(
0
)
=
0
,
F
(
1
)
=
4
F(1)=4
F
(
1
)
=
4
and
F
(
2
)
=
20
F(2)=20
F
(
2
)
=
20
, determine the values of
m
m
m
and
n
n
n
.
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