  A real univariate polynomial with all roots real is called hyperbolic. By
Descartes' rule of signs for hyperbolic polynomials (HPs) with all coefficients
nonvanishing, a HP with $c$ sign changes and $p$ sign preservations in the
sequence of its coefficients has exactly $c$ positive and $p$ negative roots.
For $c=2$ and for degree $6$ HPs, we discuss the question: When the moduli of
the $6$ roots of a HP are arranged in the increasing order on the real
half-line, at which positions can be the moduli of its two positive roots
depending on the positions of the two sign changes in the sequence of
coefficients?
