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

10-174.

After graphing *y = *12*x*^{3}* + *55*x*^{2}* − *27*x − *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. *10-174 HW eTool* (Desmos). Homework Help ✎

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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