noun🔗ShareSuch a polynomial"In her algebra class, Maria learned that an irreducible is a polynomial that cannot be factored into simpler polynomials over a specified field, like the real numbers. "mathChat with AIVocabulary GamePractice Reading
adjective🔗ShareNot able to be reduced or lessened."The doctor said the swelling was caused by an irreducible fracture, meaning they couldn't fix it without surgery. "theorysciencephilosophymathtechnicalChat with AIVocabulary GamePractice Reading
adjective🔗ShareNot able to be brought to a simpler or reduced form."The conflict between them had reached an irreducible point; they simply couldn't agree on anything anymore. "mathsciencetechnicallogicChat with AIVocabulary GamePractice Reading
adjective🔗Share(of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1)."In algebra class, the teacher explained that the polynomial x² + 4 is irreducible over real numbers because it cannot be broken down into simpler polynomial factors with real number coefficients. "mathtechnicalChat with AIVocabulary GamePractice Reading
adjective🔗Share(of a fraction) Whose numerator and denominator share no common factor greater than 1."The fraction 3/5 is irreducible because 3 and 5 have no common factors other than 1. "mathChat with AIVocabulary GamePractice Reading
adjective🔗Share(of an integer) Unable to be factored into smaller integers; prime."The number 7 is irreducible because it can only be divided evenly by 1 and itself. "mathChat with AIVocabulary GamePractice Reading
adjective🔗Share(of an element of a ring) that its only divisors are units and associates."In the world of number theory, the number 7 is considered irreducible because its only factors are 1, -1, 7, and -7 (which are either units or associates of 7). "mathtechnicalChat with AIVocabulary GamePractice Reading
adjective🔗Share(of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball."Because it cannot be simplified further without losing its essential characteristics, the geometric object was described by the mathematician as irreducible. "mathsciencetechnicalChat with AIVocabulary GamePractice Reading
adjective🔗Share(of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation."The complex concept of teamwork, while appearing multifaceted, can be broken down to the irreducible element of individual accountability. "mathtechnicalscienceChat with AIVocabulary GamePractice Reading