Irreducible Definition
 ĭrĭ-do͝osə-bəl, -dyo͝o- 
    adjective
  
 That cannot be reduced.
 Webster's New World 
Impossible to reduce to a desired, simpler, or smaller form or amount.
 Irreducible burdens.
 American Heritage 
(mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x^2 + 1).
Wiktionary 
(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
Wiktionary 
Antonyms: 
 
    noun
  
 (mathematics) Such a polynomial.
 Wiktionary 
Other Word Forms of Irreducible
Noun
Singular:
 irreduciblePlural:
 irreduciblesOrigin of Irreducible
-  
ir- + reducible
From Wiktionary
 
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