This shows the whole quadratic function, not just the doubled up solution. If you were trying to factor it as an equation, then you are correct in that f(x) 6(x-10)(x-10) or f(x) 6 (x-10)2. 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. These worksheets ( with solutions) help students take the first steps and then strengthen and extend their skills and knowledge of Solving Quadratic Equations by Factorising. Since you are finding solutions, not the equation, the 6 does not have any meaning because as Sal did in the beginning, 0/6 0. But there is a way for me to manipulate the quadratic to put it into that ready-for-square-rooting form, so I can solve. And they havent given me the equation in a form that is ready to square-root. As I understand it, we use the quadratic formula, where we bring a quadratic equation to the form of 'ax2 + bx + c 0'. As noted above, this quadratic does not factor, so I cant solve the equation by factoring. If you are on the foundation course, any quadratic equation you’re expected to solve will always have a1, with all terms on one side and a zero on the other. Quadratics are algebraic expressions that include the term, x2, in the general form.
![solving quadratic equations by factoring answers solving quadratic equations by factoring answers](https://i.ytimg.com/vi/nAdVUXsMQe4/hqdefault.jpg)
Then, we do all the math to simplify the expression. Use completing the square to solve x2 4x 8 0. Solving Quadratic Equations by Factorising. To use the Quadratic Formula, we substitute the values of a, b, and c into the expression on the right side of the formula. For example, equations such as 2+x - 6=0 is in standard form. The solutions to a quadratic equation of the form ax2 + bx + c 0, a 0 are given by the formula: x b ± b2 4ac 2a. An equation containing a second-degree polynomial is called a quadratic equation.