Writing Quadratic Equations in Standard Form
Need some help identifying quadratic equations first? Identifying Quadratic Equations
A quadratic equation is an equation of the form $\,ax^2 + bx + c = 0\,,$ where $\,a \ne 0\,.$ The form $\,ax^2 + bx + c = 0\,$ is called the standard form of the quadratic equation.
Notice that standard form is not unique. For example, $\,x^2 - x + 1 = 0\,$ can be written as the equivalent equation $\,-x^2 + x - 1 = 0\,.$ Also, $\,4x^2 - 2x + 2 = 0\,$ can be written as the equivalent equation $\,2x^2 - x + 1 = 0\,.$
In this exercise, all answers are reported in the form $\,ax^2 + bx + c = 0\,$ with $\,a > 0\,,$ and where the greatest common factor of all nonzero coefficients is $\,1\,.$
In this exercise, you will practice writing quadratic equations in standard form.