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Iran MO (3rd Round)
2006 Iran MO (3rd Round)
2
Find all polynomials
Find all polynomials
Source: Iranian National Olympiad (3rd Round) 2006
September 19, 2006
algebra
polynomial
algebra proposed
Problem Statement
Find all real polynomials that
p
(
x
+
p
(
x
)
)
=
p
(
x
)
+
p
(
p
(
x
)
)
p(x+p(x))=p(x)+p(p(x))
p
(
x
+
p
(
x
))
=
p
(
x
)
+
p
(
p
(
x
))
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