  The average density of zeros for monic generalized polynomials,
$P_n(z)=\phi(z)+\sum_{k=1}^nc_kf_k(z)$, with real holomorphic $\phi ,f_k$ and
real Gaussian coefficients is expressed in terms of correlation functions of
the values of the polynomial and its derivative. We obtain compact expressions
for both the regular component (generated by the complex roots) and the
singular one (real roots) of the average density of roots. The density of the
regular component goes to zero in the vicinity of the real axis like
$|\hbox{\rm Im}\,z|$. We present the low and high disorder asymptotic
behaviors. Then we particularize to the large $n$ limit of the average density
of complex roots of monic algebraic polynomials of the form $P_n(z) = z^n
+\sum_{k=1}^{n}c_kz^{n-k}$ with real independent, identically distributed
Gaussian coefficients having zero mean and dispersion $\delta = \frac
1{\sqrt{n\lambda}}$. The average density tends to a simple, {\em universal}
function of $\xi={2n}{\log |z|}$ and $\lambda$ in the domain $\xi\coth
\frac{\xi}{2}\ll n|\sin \arg (z)|$ where nearly all the roots are located for
large $n$.
