MathDB

12

Part of 2008 Ukraine Team Selection Test

Problems(1)

Polynomial has at most one real root

Source: Ukrainian TST 2008 Problem 12

2/12/2009
Prove that for all natural m m, n n polynomial \sum_{i \equal{} 0}^{m}\binom{n\plus{}i}{n}\cdot x^i has at most one real root.
algebrapolynomialinductionalgebra unsolved