On a problem inspired by Descartes' rule of signs

We study real univariate polynomials with non-zero coefficients and with all roots real, out of which exactly two positive. The sequence of coefficients of such a polynomial begins with m positive coefficients followed by n negative followed by q positive coefficients. We consider the sequence of moduli of their roots on the positive real half-axis; all moduli are supposed distinct. We mark in this sequence the positions of the moduli of the two positive roots. For m=n=2, n=q=2 and m=q=2, we give the exhaustive answer to the question which the positions of the two moduli of positive roots can be.