A quadratic equation is an equation of the form
[beautiful math coming... please be patient]$\,ax^2 + bx + c = 0\,$, where $\,a \ne 0\,$.
The form
[beautiful math coming... please be patient]$\,ax^2 + bx + c = 0\,$ is called the standard form of the quadratic equation.
Notice that standard form is not unique.
For example,
[beautiful math coming... please be patient]$\,x^2 - x + 1 = 0\,$
can be written as the equivalent equation
[beautiful math coming... please be patient]$\,-x^2 + x - 1 = 0\,$.
Also,
[beautiful math coming... please be patient]$\,4x^2 - 2x + 2 = 0\,$
can be written as the equivalent equation
[beautiful math coming... please be patient]$\,2x^2 - x + 1 = 0\,$.
In this exercise, all answers are reported in the form
[beautiful math coming... please be patient]$\,ax^2 + bx + c = 0\,$
with
[beautiful math coming... please be patient]$\,a > 0\,$,
and where the
greatest
common factor of all nonzero coefficients is 1
.
In this exercise, you will practice writing quadratic equations in standard form.