An integer analogy of irreducible polynomial is called a prime polynomial
. A polynomial contains the three classes of polynomials such as
For any rational function R, expressed as a quotient of relatively prime polynomials
, the degree of R is the larger of the degrees of its numerator and denominator.
Relatively right prime polynomials
matrices D(z) and N(z) of dimensions mxm and pxm respectively with D(z) to be column reduced and column degree ordered such that
where [??](s), [??](s) a r(s) are relative prime polynomials
which are expressed in terms of complex variable.