  Let $p$ be a monic hyperbolic polynomial and let $H$ be the Bezoutian matrix
of $p$ and $p'$. Then $H$ symmetrizes the Sylvester matrix associated with $p$.
This fact is observed by E.Jannelli. We give a simple proof of this fact and at
the same time show that the family of Bezoutian matrices of Nuij approximation
of $p$ gives quasi-symmetrizers introduced by S.Spagnolo. A relation connecting
$H$with the symmetrizer which was used by J.Leray for strictly hyperbolic
polynomial is given.
