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Silk Road
2008 Silk Road
4
4
Part of
2008 Silk Road
Problems
(1)
Onto-Polynomials
Source: Silk Road MO 2008 Q4
11/7/2008
Find all polynomials
P
∈
R
[
x
]
P\in\mathbb{R}[x]
P
∈
R
[
x
]
such that for all
r
∈
Q
r\in\mathbb{Q}
r
∈
Q
,there exist
d
∈
Q
d\in\mathbb{Q}
d
∈
Q
such that P(d)\equal{}r
algebra
polynomial
algebra unsolved