modulo division with negative power ?

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smslca

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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?
 

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
 

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