# 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.