But no need to worry, we include more complex examples in the next section. We simply must determine the values of r_1 and r_2. In these cases, solving quadratic equations by factoring is a bit simpler because we know factored form, y=(x-r_1)(x-r_2), will also have no coefficients in front of x. If a=1, then no coefficient appears in front of x^2. Remember, the standard form of a quadratic is:įor more information about forms of quadratics, check out our article on the different forms of quadratics. For our purpose, a simple quadratic means a quadratic where a=1. The x-intercepts can also be referred to as zeros, roots, or solutions. When you are asked to “solve a quadratic equation”, you are determining the x-intercepts. Return to the Table of Contents Factoring Quadratic Equations Examplesīefore things get too complicated, let’s begin by solving a simple quadratic equation. …we are simply saying that when we multiply (x-r_1) and (x-r_2), we will get the product ax^2+bx+x. Likewise, when we factor the standard from of a quadratic equation: Factors are terms that, when multiplied together, produce the original number or expression.Factoring a number or expression means breaking it into separate factors.There are other ways to factor 12, as well, such as using the factors 4 and 3 instead. The numbers 6 and 2 are factors of 12 because multiplying 6 and 2 gives the product of 12. Solving a Quadratic Equation Using Completing the Squareīefore we dig deep into factoring quadratic equations, let’s remember what factors are by looking at numerical examples.Determine a Quadratic Equation Given Its Roots.Solving Quadratic Equations by Factoring: World Problems.Factoring Trinomial with The Box Method.Video Examples of Factoring Quadratic Equation.Solving Quadratic Equations with the “AC Method”.
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