### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem 9-149

9-149.

Given the equation

*x*^{3}− 6*x*^{2}+ 7*x*+ 2 = 0. Homework Help ✎Verify that

*x*= 2 is a solution.What is one factor of

*x*^{3}− 6*x*^{2}+ 7*x*+ 2?Use (b) to find another factor.

What are all the solutions of

*x*^{3}− 6*x*^{2}+ 7*x*+ 2 = 0?

Substitute 2 into the equation for every *x*.

8 − 24 + 14 + 2 = 0

0 = 0

Use the value for *x* given in problem a to calculate the factor.

(*x* − 2)

Try using a generic rectangle.

(*x*^{2} − 4*x* −1)

See part (a) for one solution.

Use the quadratic formula to find the other solutions in the equation *x*^{2} − 4*x* − 1.