Modulo division involving polynomials can only be performed with non-negative integer powers of x. The discussion specifically addresses the validity of expressions like (x-29) mod (x² - 3), confirming that negative powers introduce fractions, which are not applicable in modulo operations. Therefore, modulo division is strictly defined for polynomials with non-negative integer exponents.
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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.smslca said: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?