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Postal Coaching
2008 Postal Coaching
3
P(x+y, x-y) = 2P(x, y)
P(x+y, x-y) = 2P(x, y)
Source: Indian Postal Coaching 2008 set 4 p3
May 25, 2020
polynomial
algebra
Problem Statement
Find all real polynomials
P
(
x
,
y
)
P(x, y)
P
(
x
,
y
)
such that
P
(
x
+
y
,
x
ā
y
)
=
2
P
(
x
,
y
)
P(x+y, x-y) = 2P(x, y)
P
(
x
+
y
,
x
ā
y
)
=
2
P
(
x
,
y
)
, for all
x
,
y
x, y
x
,
y
in
R
R
R
.
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