Write the cubic in standard form: (ax^3+bx^2+cx+d)
Check for a common factor and factor it out
Use the Rational Root Theorem to test possible roots
Substitute a tested value into the cubic
If the result is (0), then ((x-r)) is a factor
Divide the cubic by ((x-r)) using polynomial division or synthetic division
Factor the resulting quadratic if possible
Use the quadratic formula if the quadratic does not factor easily
Write the cubic as the product of all factors
Verify by expanding the factors back to the original cubic