Algebra

Factoring Cubic Polynomials – Steps, Methods & Worked Examples

Factoring cubic polynomials means breaking a degree-3 expression like x³ + 6x² + 11x + 6 into simpler pieces that multiply together — such as (x + 1)(x + 2)(x + 3). The five main methods are: pulling out a common factor, grouping, sum or difference of cubes, the Rational Root Theorem, and polynomial division (long or synthetic).