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Mathematics
Mathematics
Problem
Let
P
(
x
)
=
3
−
12
x
+
18
x
2
−
12
x
3
+
3
x
4
.
P(x)=3-12x+18x^{2}-12x^{3}+3x^{4}.
P
(
x
)
=
3
−
12
x
+
18
x
2
−
12
x
3
+
3
x
4
.
Interpreting
P
P
P
as a Taylor polynomial of some differentiable function, which ordered pair
(
a
,
n
)
(a,n)
(
a
,
n
)
correctly identifies its center
a
a
a
and degree
n
n
n
? a)
(
0
,
4
)
(0,4)
(
0
,
4
)
b)
(
1
,
5
)
(1,5)
(
1
,
5
)
c)
(
1
,
4
)
(1,4)
(
1
,
4
)
d)
(
3
,
4
)
(3,4)
(
3
,
4
)
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