We can factor out a common factor of 2 from all three terms to get: This can simplify the factoring process and make it easier to find the two binomials.įor example, consider the equation 6x^2 + 12x + 4 = 0.

Sometimes, you can factor out a common factor from all three terms of a quadratic equation before factoring the remaining trinomial. This means practicing factoring equations of the form ax^2 + bx + c, where a, b, and c are constants. To become proficient in solving quadratic equations by factoring, you need to be comfortable with factoring trinomials. Tips for Solving Quadratic Equations by Factoring: Therefore, the solutions to the equation 2x^2 + 5x + 3 = 0 are x = -3/2 and x = -1. This will give you the two possible solutions to the equation. Once you have factored the quadratic equation into two binomials, you can set each factor equal to zero and solve for x. Step 3: Set each factor equal to zero and solve for x These factors will be the coefficients of x in the two binomials.įor example, let's consider the quadratic equation 2x^2 + 5x + 3 = 0. To do this, you need to find two factors of the coefficient a that multiply to give a, and two factors of the constant term c that multiply to give c. The next step is to factor the quadratic equation into two binomials. If the equation is not already in standard form, you can rearrange the terms to get it into this form. The first step in solving a quadratic equation by factoring is to write the equation in standard form, which is ax^2 + bx + c = 0. Step 1: Write the quadratic equation in standard form Step-by-Step Guide to Solving Quadratic Equations by Factoring: We will also provide examples and tips to help you master this method. In this article, we will discuss how to solve quadratic equations by factoring, step by step. CONTEMPORARY MATHEMATICS SOLVING QUADRATIC EQUATIONS BY FACTORING

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