be the generalized Fibonacci polynomial. There are a few papers in the literature in which the distribution of the roots of fn is considered. For example, from [5] and [6] we know that there exists a unique positive root θ of fn, which is larger than 1, and all the other roots of fn have modulus less than 1. Moreover, if n is odd, then fn has only one real root, while if n is even, fn has exact...