### Home > CCA2 > Chapter 10 > Lesson 10.3.2 > Problem10-174

10-174.

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

If $(-5, 0)$ is an intercept, then $(x + 5)$ is a factor. Divide the given polynomial by $(x + 5)$, and then use the Quadratic Formula or factor to find the other intercepts.

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