Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. If a quadratic equation can be factored, it is written as a product of linear terms. Factoring means finding expressions that can be multiplied together to give the expression on one side of the equation.
We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith Often the easiest method of solving a quadratic equation is factoring. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: So we must be sure to start with the quadratic equation in standard form, a x 2 + b x + c 0 a x 2 + b x. In order to use the Zero Product Property, the quadratic equation must be factored, with zero on one side. If you are redistributing all or part of this book in a digital format, Each of the equations we have solved in this section so far had one side in factored form. Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the A quadratic equation of the form ax²+bx+c0 can be solved using the factorization method.For this, we have to factor the equation using whatever method is applicable to write it in the form (x+p)(x+q)0.By forming an equation with each factor, we will find that the roots of the quadratic equation are x-p and x-q. This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.