![]() We can use the zero-product property to solve quadratic equations in which we first have to factor out the greatest common factor (GCF), and for equations that have special factoring formulas as well, such as the difference of squares, both of which we will see later in this section. Just like numbers have factors (2×36), expressions have factors ( (x+2) (x+3)x2+5x+6). For example, equations such as 2+x - 6=0 is in standard form. Use the Zero Product Property to set each factor to 0. To solve a quadratic equation by factoring, arrange all the terms on one side of the equation so the other side equals 0, factor the expression, set each factor. Write the quadratic equation in standard form. ![]() To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, leaving zero on the other. ![]() There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square. x+10 is a binomial that is being squared. A quadratic equation is an equation that could be written as ax 2 + bx + c 0 when a 0. In the example you wrote, that expression is a special case. Katta 12 years ago Yes, a and b can be equal. An equation containing a second-degree polynomial is called a quadratic equation. 4.1: Quadratic Equations and Solving by Factoring - Mathematics LibreTexts. 4 comments ( 327 votes) Upvote Downvote Flag Omkar A.
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