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National and Regional Contests
Iran Contests
Iran MO (3rd Round)
2002 Iran MO (3rd Round)
23
Easy one
Easy one
Source: Iran 2002
June 11, 2004
algebra
polynomial
analytic geometry
number theory proposed
number theory
Problem Statement
Find all polynomials
p
p
p
with real coefficients that if for a real
a
a
a
,
p
(
a
)
p(a)
p
(
a
)
is integer then
a
a
a
is integer.
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