Consider an example. The division $9 \div 2$ can be written as: Similarly, if we divide a polynomial f(x) by a linear polynomial g(x) and get a remainder as r(x), we can express it as: One way of finding the remainder is by long division of polynomials. This gives us the div...
Let R = prem(G; ASC), then from the computation procedure of the pseudo division pro- cedure, we have the following important remainder formula: (2.1) JG ≡ R [A 1 ,··· , A p ] where J is a product of powers of the initials and separants of the polynomials in ASC ...