A quadratic equation is a polynomial equation of second degree, meaning the highest exponent of its monomials is 2. A quadratic equation can be written in standard form as follows.

Here, the leading coefficient a is non-zero, which guarantees that the x^2-term is present. Solving a quadratic equation means finding the zeros of the related quadratic function. Therefore, quadratic equations can have at most two solutions. c|c Quadratic Equation & Related Function [0.4em] ax^2+bx+c=0 & y = ax^2+bx+c This type of equation can be solved using several methods, such as graphing and factoring. If the linear coefficient b of a quadratic equation is 0, the equation is called a simple quadratic equation and can be written in the following form.