One problem I can see is what if the highmost coefficient isn't a multiple of the highmost coefficient of the divisor? For example, (3x^4 + 1) ÷ (2x^2 + 1). Convert to floating point coefficients (possibly the same as Julia does it, that is have / and ÷ operations)? Disallow divisors with the highmost coefficient other than one (this will work for the purposes of polynomial moduli, at least, since that's the case for all of them)?
The title says it all.
One problem I can see is what if the highmost coefficient isn't a multiple of the highmost coefficient of the divisor? For example,
(3x^4 + 1) ÷ (2x^2 + 1). Convert to floating point coefficients (possibly the same as Julia does it, that is have/and÷operations)? Disallow divisors with the highmost coefficient other than one (this will work for the purposes of polynomial moduli, at least, since that's the case for all of them)?