modulo division with negative power ?

[smslca]

if f(x)modg(x) is valid(means , if it yield a remainder) then , can there be negative powers of x in f(x)?

for example
is (x^-29)mod(x² - 3) possible ?
can we do modulo division like this or is it strictly defined only for positive powers of x?

 

[zorro]

What could be the result according to the definition?
This kind of operation with polynomials is defined only for positive integer powers of x.
Regards

Z