Question

How do you solve cubic equations?

Answer 1

All cubics have at least one real solution.

In general we can look for a specific solution using trial and error or using a graph. If we can find one solution we can use algebraic division to find a quadratic factor which can then be further solves using the quadratic equation.

If we cannot find a specific solution we can use numeric techniques, such as iteration or Newton-Rhapson.