  Write $\zeta_m(n)$, $1\le m\le n-1$, for the negative zeros of the $n$-th
Bell polynomial, ordered in decreasing size. In this paper, we prove the
following asymptotic: for a positive integer $m$ we have $$ \lim_{n\to
\infty}\frac{\zeta_m(n)}{-m\left(\displaystyle\frac{m}{m+1}\right)^{n-1}}=1. $$
The approach used to find this asymptotic applies to many other significant
families of polynomials. In particular, analogous asymptotics are also proved
for the negative rightmost zeros of Eulerian polynomials, $r$-Bell polynomials,
linear combinations of $K$ consecutive Bell polynomials and many others.
