Sequence of trinomials?
Source: Tuymaada 2021 Senior P8
July 28, 2021
polynomialquadraticsalgebrarational functions
Problem Statement
In a sequence of quadratic trinomials each trinomial, starting with the third, is the sum of the two preceding trinomials. The first two trinomials do not have common roots. Is it possible that has an integral root for each ?