## How to solve a polynomial?

These equations are solved by finding for the variable. Polynomials come in varying degrees, some of which are solved by particular equations. Factoring, rational equations and root extractions can solve those in the lowest four orders. For example, second-order equations (of the form f(x) = ax^2 + bx + c) can be solved by the quadratic equation (ax^2 + bx +c = 0). Third-order equations are solved by the cubic equation and fourth-order equations are solved by the quartic equation.