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

(mathematics, of an integer) Unable to be factored into smaller integers; prime.

Wiktionary

(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.

Wiktionary
Antonyms:
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noun
(mathematics) Such a polynomial.
Wiktionary

Other Word Forms of Irreducible

Noun

Singular:
irreducible
Plural:
irreducibles

Origin of Irreducible

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irreducible