### Home > A2C > Chapter 11 > Lesson 11.2.4 > Problem 11-93

11-93.

Using your answers to the previous problem: Homework Help ✎

Factor

*f*(*x*) =*x*^{3}− 5*x*^{2}+ 11*x*− 15.Solve

*f*(*x*) = 0.

Use a generic rectangle to see if *x* − 3 is a factor.

*x*^{2} − 2*x* + 5

(*x* − 3)(*x*^{2} − 2*x* + 5)

Use the factors to solve for *x*.

(*x* − 3)(*x*^{2} − 2*x* + 5)

*x* = 3

Use the quadratic formula to solve the other factor.

*x* = 1 ± 2*i*

*x* = {3, 1 ± 2*i*}