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Onto-Polynomials

Source: Silk Road MO 2008 Q4

November 7, 2008
algebrapolynomialalgebra unsolved

Problem Statement

Find all polynomials P∈R[x] P\in\mathbb{R}[x] such that for all r∈Q r\in\mathbb{Q},there exist d∈Q d\in\mathbb{Q} such that P(d)\equal{}r
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