prime polynomial

prime polynomial

[′prīm ‚päl·i′nō·mē·əl]
(mathematics)
A polynomial whose only factors are itself and constants.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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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.