MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
Moldova National Olympiad
2007 Moldova National Olympiad
12.5
12.5
Part of
2007 Moldova National Olympiad
Problems
(1)
Polynomial equation
Source: Moldova MO 2007 12th grade day II problem 5
3/4/2007
Find all polynomials
P
ā
C
[
X
]
P\in \mathbb C[X]
P
ā
C
[
X
]
such that
P
(
X
2
)
=
P
(
X
)
2
+
2
P
(
X
)
P(X^{2})=P(X)^{2}+2P(X)
P
(
X
2
)
=
P
(
X
)
2
+
2
P
(
X
)
algebra
polynomial
algebra proposed