👉 In mathematics, an irreducible polynomial is a polynomial that cannot be factored into the product of two non-constant polynomials. This means that every factor of the polynomial must come from the coefficients in some way and can only be obtained by multiplying or dividing it out. For example, consider the polynomial $x^4 - 3x^2 + 1$. It is reducible because it can be factored as $(x^2 - 1)(x^2 -