Factorization of spread polynomials

TL;DR

This paper proves a conjecture about the factorization of spread polynomials, showing how to compute their factors and linking them to Fibonacci number factorizations.

Contribution

It provides a proof of Goh and Wildberger's conjecture and introduces methods to calculate spread polynomial factors, connecting them to Fibonacci number factorizations.

Findings

Proof of the conjecture on spread polynomial factorization

Method for effective calculation of factors

Connection to Fibonacci number primitive factorizations

Abstract

We present a proof of a conjecture of Goh and Wildberger on the factorization of the spread polynomials. We indicate how the factors can be effectively calculated and exhibit a connection to the factorization of Fibonacci numbers into primitive parts.