### Home > A2C > Chapter 12 > Lesson 12.4.1 > Problem 12-166

12-166.

Given the polynomial equation

*x*^{3}− 2*x*+ 1 = 0, answer the following questions. Homework Help ✎What integer is a clear solution?

What is a factor of

*x*^{3}− 2*x*+ 1?Solve

*x*^{3}− 2*x*+ 1 = 0.

*x* = 1

What is the factor for *x* = 1?

If one factor is (*x* − 1), what is the second factor? Divide *x*^{3} − 2*x* + 1 by *x* − 1.