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IberoAmerican
2014 IberoAmerican
2
Finding polynomials
Finding polynomials
Source:
September 24, 2014
algebra
polynomial
algebra unsolved
Problem Statement
Find all polynomials
P
(
x
)
P(x)
P
(
x
)
with real coefficients such that
P
(
2014
)
=
1
P(2014) = 1
P
(
2014
)
=
1
and, for some integer
c
c
c
:
x
P
(
x
−
c
)
=
(
x
−
2014
)
P
(
x
)
xP(x-c) = (x - 2014)P(x)
x
P
(
x
−
c
)
=
(
x
−
2014
)
P
(
x
)
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