Cubic Factorization Calculator

Understanding Cubic Factorization and Rational Root Theorem

Cubic factorization involves breaking down a cubic polynomial into simpler factors, ideally linear and quadratic factors. The Rational Root Theorem is a powerful tool to find potential rational roots of a polynomial equation with integer coefficients. It states that if a polynomial has a rational root p/q, then p must be a factor of the constant term (d), and q must be a factor of the leading coefficient (a). By testing these possible roots using synthetic division, we can identify rational roots and factor the cubic polynomial. This calculator automates this process, providing factors and a visual representation of the polynomial.