  We present a new method to calculate analytically the roots of the general
complex polynomial of degree three. Thismethod is based on the approach of
appropriated changes of variable involving an arbitrary parameter. The
advantageof this method is to calculate the roots of the cubic polynomial as
uniform formula using the standard convention of thesquare and cubic roots. In
contrast, the reference methods for this problem, as Cardan-Tartaglia and
Lagrange, give theroots of the cubic polynomial as expressions with case
distinctions which are incorrect using the standar convention.
