  By expressing polynomials in the basis of Chebyshev polynomials, certain
families of hyperbolic polynomials appear naturally. Some of these families
have all their roots in the interval $[-2,2]$. In many cases the span of the
family of polynomials thus found is greater than 4, and we show that they are
the minimal polynomials of Salem numbers, possibly multiplied by some
cyclotomic polynomials. In addition, we show how to compute the limit of the
largest and smallest roots.
