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Baltic Way
2010 Baltic Way
4
Find all polynomials satisyfing product condition
Find all polynomials satisyfing product condition
Source: Baltic Way 2010
November 19, 2010
algebra
polynomial
algebra proposed
Problem Statement
Find all polynomials
P
(
x
)
P(x)
P
(
x
)
with real coefficients such that
(
x
ā
2010
)
P
(
x
+
67
)
=
x
P
(
x
)
(x-2010)P(x+67)=xP(x)
(
x
ā
2010
)
P
(
x
+
67
)
=
x
P
(
x
)
for every integer
x
x
x
.
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