MathDB
Problems
Contests
National and Regional Contests
Bulgaria Contests
Bulgaria National Olympiad
1988 Bulgaria National Olympiad
Problem 6
p(x^3+1)=p(x+1)^3
p(x^3+1)=p(x+1)^3
Source: Bulgaria 1988 P6
June 15, 2021
fe
Polynomials
functional equation
algebra
Problem Statement
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
.
Back to Problems
View on AoPS