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Bulgaria National Olympiad
1988 Bulgaria National Olympiad
Problem 6
Problem 6
Part of
1988 Bulgaria National Olympiad
Problems
(1)
p(x^3+1)=p(x+1)^3
Source: Bulgaria 1988 P6
6/15/2021
Find all polynomials
p
(
x
)
p(x)
p
(
x
)
satisfying
p
(
x
3
+
1
)
=
p
(
x
+
1
)
3
p(x^3+1)=p(x+1)^3
p
(
x
3
+
1
)
=
p
(
x
+
1
)
3
for all
x
x
x
.
fe
Polynomials
functional equation
algebra