See step-by-step examples and solutions for different methods. Good question! A quadratic equation is an equation in which the variable is raised to the second power. Solving Quadratic Equations by Factoring 1. Solve quadratic equations by factoring, completing the square, or using the quadratic formula. Introduction A quadratic equation of the form ax 2 + bx + c 0 can also be represented as y ax 2 + bx + c. Then, by remembering the zero product property, we know the solutions of the equation are the solutions of linear equations. Solve quadratic equations by factoring Zero product property or null factor law Standard form of quadratic equation. Really, it’s another shining moment for the distributive property of multiplication! We’re not using it to calculate the product, but we can use it to write an expression as a product.įactoring is often used when solving quadratic equations because, then, the quadratic expression is rewritten as a product of linear expressions. Watch a 6-minute video lesson with examples, practice problems and explanations by Khan Academy. Quadratics by factoring (intro) Solving quadratics by factoring: leading coefficient 1. Learn how to factor quadratic expressions and use them to solve quadratic equations in algebra 2. In this tutorial, youll see how to factor a quadratic equation using the guess and check method of factoring. Just because math is getting more complicated doesn’t mean we can’t make it a little easier for ourselves! Factoring is one way we can make our calculations a little clearer and easier to follow.Īnd who wouldn’t want to make math easier? What does it mean to factor an expression?įactoring an expression means rewriting it as a product of two or more factors. Lesson 5: Solving quadratics 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.
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