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Czech-Polish-Slovak Match
2007 Czech-Polish-Slovak Match
1
1
Part of
2007 Czech-Polish-Slovak Match
Problems
(1)
Polynomials P[R] such that P(x^2)=P(x)P(x+2)
Source: Czech-Polish-Slovak Match 2007-P1
9/14/2011
Find all polynomials
P
P
P
with real coefficients satisfying
P
(
x
2
)
=
P
(
x
)
ā
P
(
x
+
2
)
P(x^2)=P(x)\cdot P(x+2)
P
(
x
2
)
=
P
(
x
)
ā
P
(
x
+
2
)
for all real numbers
x
.
x.
x
.
algebra
polynomial
complex numbers
algebra proposed