Factored Form
Factored Form
Quadratic Equations
When a quadratic function crosses the x-axis, those x-values are called the roots or zeros of the function. For a quadratic function that has real roots,
and
, the factored form is given as:
; where a is a real number that works the same way as the a-value in the last lesson.
![QuadEq1-1 QuadEq1-1](https://claregladwinresd.glk12.org/pluginfile.php/2176/mod_book/chapter/4596/Quadratic/QuadEq1-1.png)
![QuadEq1-2 QuadEq1-2](https://claregladwinresd.glk12.org/pluginfile.php/2176/mod_book/chapter/4596/Quadratic/QuadEq1-2.png)
![QuadEq1-3 QuadEq1-3](https://claregladwinresd.glk12.org/pluginfile.php/2176/mod_book/chapter/4596/Quadratic/QuadEq1-3.png)
For example: See how the graph of |
|
The factored form of a quadratic equation also tells you where the x-intercepts are located. The x-intercepts of the equation are the x-values that will make y = 0.