In this article, we study the zeros of the Fibonacci-type polynomials   and  The zeros are shown to be expressible in terms of solutions of a certain trigonometric equation. This enables us to establish a relationship between the zeros of such polynomials and the zeros of a certain sparse twinned polynomial. Based on this relationship, we could obtain some information about the zeros of  Our findings were numerically evidenced by solving some examples using MATLAB.

Fibonacci-like polynomials, zeros of polynomials, eigenvalues, tridiagonal matrix, twinned polynomials.