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CIIM
2015 CIIM
Problem 2
Problem 2
Part of
2015 CIIM
Problems
(1)
CIIM 2015 Problem 2
Source:
8/9/2016
Find all polynomials
P
(
x
)
P(x)
P
(
x
)
with real coefficients that satisfy the identity
P
(
x
3
−
2
)
=
P
(
x
)
3
−
2
,
P(x^3-2)=P(x)^3-2,
P
(
x
3
−
2
)
=
P
(
x
)
3
−
2
,
for every real number
x
x
x
.
CIIM 2015
undergraduate