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1999 Tuymaada Olympiad
2
Tuymaada 1999, Q2
Tuymaada 1999, Q2
Source: Tuymaada 1999, Q2
July 31, 2012
algebra
polynomial
algebra unsolved
Problem Statement
Find all polynomials
P
(
x
)
P(x)
P
(
x
)
such that
P
(
x
3
+
1
)
=
P
(
x
3
)
+
P
(
x
2
)
.
P(x^3+1)=P(x^3)+P(x^2).
P
(
x
3
+
1
)
=
P
(
x
3
)
+
P
(
x
2
)
.
Proposed by A. Golovanov
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