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Mathematics
Problem
The cubic polynomial
f
(
x
)
=
x
3
+
a
x
2
+
b
x
+
5
f(x)=x^{3}+ax^{2}+bx+5
f
(
x
)
=
x
3
+
a
x
2
+
b
x
+
5
is known to have a local maximum at
x
=
−
1
x=-1
x
=
−
1
whose value is
7
7
7
. Determine the values of the parameters
a
a
a
and
b
b
b
.
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