Miklos Schweitzer 1963_4
Source:
September 19, 2008
algebrapolynomialsuperior algebrasuperior algebra unsolved
Problem Statement
Call a polynomial positive reducible if it can be written as a product of two nonconstant polynomials with positive real coefficients. Let be a polynomial with f(0)\not\equal{}0 such that is positive reducible for some natural number . Prove that itself is positive reducible. [L. Redei]