MathDB
Problems
Contests
International Contests
Baltic Way
2008 Baltic Way
1
Polynomials
Polynomials
Source: Baltic Way 2008
November 12, 2008
algebra
polynomial
search
algebra unsolved
Problem Statement
Determine all polynomials
p
(
x
)
p(x)
p
(
x
)
with real coefficients such that
p
(
(
x
+
1
)
3
)
=
(
p
(
x
)
+
1
)
3
p((x+1)^3)=(p(x)+1)^3
p
((
x
+
1
)
3
)
=
(
p
(
x
)
+
1
)
3
and
p
(
0
)
=
0
p(0)=0
p
(
0
)
=
0
.
Back to Problems
View on AoPS