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PEN F Problems
8
F 8
F 8
Source:
May 25, 2007
algebra
polynomial
analytic geometry
function
induction
blogs
rational numbers
Problem Statement
Find all polynomials
W
W
W
with real coefficients possessing the following property: if
x
+
y
x+y
x
+
y
is a rational number, then
W
(
x
)
+
W
(
y
)
W(x)+W(y)
W
(
x
)
+
W
(
y
)
is rational.
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