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National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2007 Hanoi Open Mathematics Competitions
11
HOMC(Vietnam)
HOMC(Vietnam)
Source:
January 28, 2016
algebra
Problem Statement
Find all polynomials P(x) satisfying the equation
(
2
x
−
1
)
P
(
x
)
=
(
x
−
1
)
P
(
2
x
)
,
∀
x
.
(2x-1)P(x) = (x-1)P(2x), \forall x.
(
2
x
−
1
)
P
(
x
)
=
(
x
−
1
)
P
(
2
x
)
,
∀
x
.
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