Try the entered exercise, or type in your own exercise. Unfortunately, they are not always applicable. You can use the Mathway widget below to practice solving quadratic equations by factoring. These methods are relatively simple and efficient, when applicable. So far, youve either solved quadratic equations by taking the square root or by factoring. Quadratics by factoring (intro) Solving quadratics by factoring: leading coefficient 1. In this tutorial, youll see how to factor a quadratic equation using the guess and check method of factoring. Lesson 5: Solving quadratics by factoring. Therefore, when solving quadratic equations by factoring, we must always have the equation in the form "(quadratic expression) equals (zero)" before we make any attempt to solve the quadratic equation by factoring. Solving quadratic equations by factoring. How Do You Solve a Quadratic Equation by Factoring One of the many ways you can solve a quadratic equation is by factoring it. If the product of factors is equal to anything non-zero, then we can not make any claim about the values of the factors. Solving Quadratic Equations by Factoring Date Period Solve each equation by factoring. We can only draw the helpful conclusion about the factors (namely, that one of those factors must have been equal to zero, so we can set the factors equal to zero) if the product itself equals zero. In particular, we can set each of the factors equal to zero, and solve the resulting equation for one solution of the original equation. So, if we multiply two (or more) factors and get a zero result, then we know that at least one of the factors was itself equal to zero. ![]() ![]() Put another way, the only way for us to get zero when we multiply two (or more) factors together is for one of the factors to have been zero. ![]() Zero-Product Property: If we multiply two (or more) things together and the result is equal to zero, then we know that at least one of those things that we multiplied must also have been equal to zero.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |