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?

 

[ramsey2879]

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?

Negative powers involves fractions but the mod function doesn't have use of fractional parts as far as I know. Some one with a greater understanding may give you a better answer.