MÉTODO ALTERNATIVO PARA A REDUÇÃO DO GRAU DOS POLINÔMIOS PALINDRÔMICOS DE COM COEFICIENTES REAIS

Abstract

The behavior of the zeros of the algebraic polynomials is one of the classic subareas of Analysis. This subject is widely discussed in Mathematics and currently polynomial functions are subjects of much investigation, both in the computational and theoretical areas. The behavior of the zeros of palindromic polynomials in the unit circle is a reason for research in the literature [1], [2] and [3]. In palindromic polynomials P_2n (z), n interger, of even degree, it is known that they can be expressed P_2n (z) = zⁿ Q(z+1/z), where Q is a polynomial of degree, such that from the roots of we obtain the roots of P_2n (z). Keith Conrad addresses a procedure for this purpose. In this work, we present an alternative method with the same purpose.