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Iran MO (2nd Round)
2006 Iran MO (2nd round)
2
Find all polynomials - Iran NMO 2006 - Problem2
Find all polynomials - Iran NMO 2006 - Problem2
Source:
September 23, 2010
algebra
polynomial
algebra proposed
Problem Statement
Determine all polynomials
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
with real coefficients such that
P
(
x
+
y
,
x
−
y
)
=
2
P
(
x
,
y
)
∀
x
,
y
∈
R
.
P(x+y,x-y)=2P(x,y) \qquad \forall x,y\in\mathbb{R}.
P
(
x
+
y
,
x
−
y
)
=
2
P
(
x
,
y
)
∀
x
,
y
∈
R
.
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