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1991 Greece National Olympiad
1
P(x^3+1)=(P (x+1))^3
P(x^3+1)=(P (x+1))^3
Source: 1991 Greece MO Grade XI p1
September 6, 2024
algebra
polynomial
Problem Statement
Find all polynomials
P
(
x
)
P(x)
P
(
x
)
, such that
P
(
x
3
+
1
)
=
(
P
(
x
+
1
)
)
3
P(x^3+1)=\left(P (x+1)\right)^3
P
(
x
3
+
1
)
=
(
P
(
x
+
1
)
)
3
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