### Home > A2C > Chapter 13 > Lesson 13.2.3 > Problem13-134

13-134.

Latisha had graphed the polynomial y = x3 − 5x2 + 8x − 6 during class and remembered that it had one real root at x = 3. Explain how you could use division to find the other roots, and then find them. Homework Help ✎

Use the given root to find a factor of the equation.

$y=\frac{x^3-5x+8x-6}{x-3}=x^2-2x+2$

Use the quadratic formula to find the other roots.

$x=\frac{2\pm\sqrt{-4}}{2}$

x = 3,1 ± i