👉 In a mathematical context, an "irreducible" function is one for which every polynomial with coefficients in a given field has exactly one root. This concept is closely related to the notion of an irreducible polynomial in a field extension. For example, the polynomial $f(x) = x^2 - 4x + 3$ can be factored into $(x-1)(x+3)$, which means it's irreducible over the real numbers (since there is no integer
