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Mathematics
Mathematics
Problem
The polynomial
S
(
x
)
=
5
−
3
(
2
x
−
4
)
+
(
2
x
−
4
)
2
−
1
6
(
2
x
−
4
)
3
S(x)=5-3(2x-4)+(2x-4)^2-\frac{1}{6}(2x-4)^3
S
(
x
)
=
5
−
3
(
2
x
−
4
)
+
(
2
x
−
4
)
2
−
6
1
(
2
x
−
4
)
3
is given in terms of
(
2
x
−
4
)
(2x-4)
(
2
x
−
4
)
. Treating
S
S
S
as a Taylor polynomial of a function about
x
=
a
x=a
x
=
a
, determine the center
a
a
a
and the degree
n
n
n
.
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