Irreducible Equation

irreducible equation

[‚ir·ə′dü·sə·bəl i′kwā·zhən]
(mathematics)
An equation that is equivalent to one formed by setting an irreducible polynomial equal to zero.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Irreducible Equation

 

an algebraic equation f(x)= 0 whose left side cannot be factored into factors; that is, it is an irreducible polynomial. If an equation is not irreducible, then its solution is facilitated by reducing it to the solution of several algebraic equations of lower degree.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
In this work, we consider an irreducible equation of the form