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Mathematics
Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a polynomial of degree
3
3
3
such that
f
(
−
1
)
=
10
f(-1)=10
f
(
−
1
)
=
10
,
f
(
1
)
=
−
6
f(1)=-6
f
(
1
)
=
−
6
,
f
(
x
)
f(x)
f
(
x
)
has a critical point at
x
=
−
1
x=-1
x
=
−
1
and
f
′
(
x
)
f'(x)
f
′
(
x
)
has a critical point at
x
=
1
x=1
x
=
1
. Then
f
(
x
)
f(x)
f
(
x
)
has a local minima at
x
=
x=
x
=
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