👉 In mathematics, an irreducible rational function is a function that cannot be expressed as the quotient of two polynomials with integer coefficients. In other words, it is a polynomial whose roots are all integers. The terms "irrational" and "non-rational" can sometimes refer to different things in this context, but "irrational" generally refers to a rational number that is not algebraic, while "non-rational" typically means an irrational number. In the case of irreducible