# Solving Quadratic Equations by Factoring

Students learn that the first step to solving polynomial equations is to set the given equation equal to zero; the next step is to factor; and the final step is to set each of the resulting factors equal to zero and solve each equation, which yields more than one solution, so the answer can be written as a solution set. Some problems involve factoring a trinomial into two binomials, and some problems involve factoring a binomial as the difference of two squares.