👉 In mathematics, an irreducible polynomial is a polynomial of a prime degree that cannot be factored into two non-constant polynomials. This means that every factorization of the polynomial must contain at least one variable from the set of coefficients and no other variables. For example, consider the polynomial x^3 - 4x^2 + 5x - 6 = 0. This polynomial cannot be factored into two non-constant polynomials because it is a cubic equation with a