Let
and
be two univariate polynomials in
,
with respective degrees
and
.
We call
adic expansion of
, a sequence of polynomials
in
such that

,
 the degree of each
is strictly less than that of
,

holds if and only
is null.
This is an adaptation to polynomials of a wellknown notion for integer numbers.
Marc Moreno Maza
20080318