Heres All You Need to Know About Solving Quadratic Equations by Factoring. Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). The standard form of any quadratic equation must be expressed as AX²+ BX + C0, where A, B, and C are values, except that A cant be equal to zero, and X is unknown (yet to be solved). Transform the equation using standard form in which one side is zero. To solve an quadratic equation using factoring : 1. If a quadratic equation can be factored, it is written as a product of linear terms. Factoring means finding expressions that can be multiplied together to give the expression on one side of the equation. We can use the methods for solving quadratic equations that we learned in this section to solve for the missing side. Solving Quadratic Equations Using Factoring. Often the easiest method of solving a quadratic equation is factoring. Because each of the terms is squared in the theorem, when we are solving for a side of a triangle, we have a quadratic equation. Solving Quadratic Equations by MathTeacherGon - Grade 9 MathFollow me on my social media accounts:Facebook. We use the Pythagorean Theorem to solve for the length of one side of a triangle when we have the lengths of the other two. It has immeasurable uses in architecture, engineering, the sciences, geometry, trigonometry, and algebra, and in everyday applications. Different methods can be used for factoring quadratic equations. It is based on a right triangle, and states the relationship among the lengths of the sides as \(a^2+b^2=c^2\), where \(a\) and \(b\) refer to the legs of a right triangle adjacent to the \(90°\) angle, and \(c\) refers to the hypotenuse. Unfortunately, they are not always applicable. These methods are relatively simple and efficient, when applicable. So far, youve either solved quadratic equations by taking the square root or by factoring. One of the most famous formulas in mathematics is the Pythagorean Theorem. Solving quadratic equations by factoring.
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