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1
2015 Algebra #1: Unique Polynomial
2015 Algebra #1: Unique Polynomial
Source:
March 28, 2015
algebra
polynomial
Problem Statement
Let
Q
Q
Q
be a polynomial
Q
(
x
)
=
a
0
+
a
1
x
+
⋯
+
a
n
x
n
,
Q(x)=a_0+a_1x+\cdots+a_nx^n,
Q
(
x
)
=
a
0
+
a
1
x
+
⋯
+
a
n
x
n
,
where
a
0
,
…
,
a
n
a_0,\ldots,a_n
a
0
,
…
,
a
n
are nonnegative integers. Given that
Q
(
1
)
=
4
Q(1)=4
Q
(
1
)
=
4
and
Q
(
5
)
=
152
Q(5)=152
Q
(
5
)
=
152
, find
Q
(
6
)
Q(6)
Q
(
6
)
.
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