### Home > A2C > Chapter 11 > Lesson 11.2.6 > Problem11-123

11-123.

After graphing $y = 12x^{3} + 55x^{2} − 27x − 10$ on a graphing calculator you can easily see that one x-intercept is $\left(−5, 0\right)$. Use this information to find all of the $x$-intercepts.

This means that $\left(x + 5\right)$ is a root, so you can divide:

$(-5,0\,)\left(\frac{2}{3},\,0\right)\left(-\frac{1}{4},\,0\right)$