irreducible /ˌɪɹɪˈdjuːsɪbəl/adjective 9noun 1forms 1 adjective9 •Not able to be reduced or lessened. •Not able to be brought to a simpler or reduced form. •Unable to be factorized into polynomials of lower degree, as (x² + 1). •Whose numerator and denominator share no common factor greater than 1. •Unable to be factored into smaller integers; prime. •Whose only divisors are units and associates. •Inexpressible as the union of two proper algebraic subvarieties. •Not containing a sphere of codimension 1 that is not the boundary of a ball. •Impossible to divide further into representations of lower dimension by means of any similarity transformation. noun1 •Such a polynomial formsirreducibles
