MathDB
$P(x)$ has integer values for $n+1$ consecutive values of the argument

Source: Moldova TST 1994

August 8, 2023
algebrapolynomial

Problem Statement

Let P(x)P(x) be a polynomial with at most nn{} real coefficeints. Prove that if P(x)P(x) has integer values for n+1n+1 consecutive values of the argument, then P(m)∈Z,∀m∈Z.P(m)\in\mathbb{Z},\forall m\in\mathbb{Z}.
Back to ProblemsView on AoPS