![]() ![]() While the focus of this guide is on teaching you how to factor quadratic equations and how to solve quadratic equations by factoring, it is important that you first understand how the difference between a trinomial expression and a quadratic equation. However, before we learn how to factor quadratic equations and how to solve quadratic equations by factoring, let’s quickly review some important vocabulary terms related to quadratics and quadratic equations. While we will review general factoring in this guide, we will be more focused on how to factor a quadratic equation. Note that this guide is a follow-up to our free step-by-step guide How to How to Factor Polynomials, which reviews how to factor polynomials with 2 terms, 3 terms, and 4 terms. How to Factor Quadratic Equations when a≠1? How to Factor Quadratic Equations when a=1 What are the Solutions of a Quadratic Equation? This free Step-by-Step Guide on How to Factor Quadratic Equations will cover the following topics: Learning how to factor a quadratic equation comes down to being able to recognize a quadratic equation, being able to factor it, and then finally being able to solve for x and check your answer for mistakes. Being able to solve quadratic equations by factoring is an incredibly important algebra skill that every student will need to learn in order to be successful in Algebra I, Algebra II, and beyond. The word quad is Latin for four or fourth, which is why a quadratic equation has four terms (ax², bx, c, and 0). In algebra, a quadratic equation is an equation of the form ax² + bx + c = 0 where a can not equal zero. ![]()
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