I. “+ adjective
Etymology: in- (I) + reducible
1. : impossible to bring into a desired state, form, or condition
an irreducible hernia
2.
a. : impossible to simplify or make easier or clearer
an irreducible formula
an irreducible racial or cultural idiosyncrasy — Abram Kardiner
b. : impossible to make less or smaller
an irreducible minimum
• ir·reducibly “+ adverb
II. adjective
: incapable of being factored into polynomials of lower degree with coefficients in some given field (as the rational numbers) or integral domain (as the integers)
irreducible polynomials
an irreducible equation
• irreducibility noun