  It is well known that the multiplier ideal $\multr{I}$ of an ideal $I$
determines in a straightforward way the multiplier ideal $\multr{f}$ of a
sufficiently general element $f$ of $I$. We give an explicit condition on a
polynomial $f \in \CC[x_1,...,x_n]$ which guarantees that it is a sufficiently
general element of the most natural associated monomial ideal, the ideal
generated by its terms. This allows us to directly calculate the multiplier
ideal $\multr{f}$ (for all $r$) of ``most'' polynomials $f$.
