![]() The step-by-step solution will help you understand how to solve quadratic equations by factoring. 4 x 2 is also a perfect square ( 4 x 2 = ( 2 x ) 2 = 2 x Įnter your quadratic equation into Tiger's calculator. For example, 9 is a perfect square ( 9 = 3 2 = 3 Perfect square – the product of a number or expression multiplied by itself. Tiger uses this method for solving quadratic equations by factoring. Splitting the middle term – a method for factoring quadratic equations. Although c is a constant, it is sometimes referred to as a coefficient in this context. In the standard form of a quadratic equation a x 2 + b x + c = 0, a, b and c are coefficients. The numbers or expressions we are multiplying are called the "factors" of that product.Ĭoefficient – a number used to multiply a variable. When multiplying two numbers or expressions, we get a product. In such cases, we need to use another method, such as the quadratic formula, to solve them.įactor – a number or expression that divides another number or expression evenly, with no remainder. It is important to note that not all quadratic equations can be factored. To distinguish between the roots, write the x as: ![]() Solving these two linear equations will give us the roots for the quadratic equation: So we can set each of the factors to zero and solve for the variable: When the product of two factors equals zero, one or both equals zero. Or, in other words, finding the roots of the quadratic equation. The equation's factored form allows us to find the variable values that would make the equation true. Since both sides are equal (they are the same equation written in a different format), that means that the factored form equation also equals zero: ![]() The standard form of a quadratic equation is a x 2 + b x + c = 0, in which a, b and c represent the coefficients and x represents an unknown variable.įactoring quadratics is a method of rewriting a quadratic equation in its factored form (a form of its linear factors): An equation containing a second-degree polynomial is called a quadratic equation.For example, equations such as (2x2 +3x10) and (x24 0) are quadratic equations. Factoring (or factorizing) is one of the ways to solve quadratic equations, like the quadratic formula and completing the square. Solving Quadratic Equations by Factoring. ![]()
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