![]() ![]() So, either one or both of the terms are 0 i.e. We know that any number multiplied by 0 gets 0. We have two factors when multiplied together gets 0. In the last lesson, we learned how to solve a quadratic equation by using the square root property. ![]() We find that the two terms have x in common. Solving Quadratic Equations by Factoring. We can factorize quadratic equations by looking for values that are common. If the coefficient of x 2 is greater than 1 then you may want to consider using the Quadratic formula. Solving by factoring depends on the zero-product property, which states. An equation containing a second-degree polynomial is called a quadratic equation. This may involve manipulating the equation such that all terms are on. This is still manageable if the coefficient of x 2 is 1. If a quadratic equation can be factored, it is written as a product of linear terms. Solving Quadratic Equations by Factoring. To solve a quadratic equation by using factoring, write the equation in standard form. In other cases, you will have to try out different possibilities to get the right factors for quadratic equations. In this lesson, we will look at quadratic equations where the leading coefficient (the. In some cases, recognizing some common patterns in the equation will help you to factorize the quadratic equation.įor example, the quadratic equation could be a Perfect Square Trinomial (Square of a Sum or Square of a Difference) or Difference of Two Squares. Factoring (or factorising) is a way of simplifying a quadratic equation. Sometimes, the first step is to factor out the greatest common factor before applying other factoring techniques. The simplest way to factoring quadratic equations would be to find common factors. Solving Quadratic Equations using the Quadratic Formula Factoring Quadratic Equations (Square of a sum, Square of a difference, Difference of 2 squaresįactoring Quadratic Equations where the coefficient of x 2 is greater than 1įactoring Quadratic Equations by Completing the Square ![]()
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