### Home > A2C > Chapter 9 > Lesson 9.3.1 > Problem 9-122

9-122.

Now Carlos needs to solve 2*x*^{3} + 3*x*^{2} − 8*x* + 3 = 0, but his calculator will still only create a standard graph. He sees that the graph of *y* = 2*x*^{3} + 3*x*^{2} − 8*x* + 3 crosses the *x*-axis at *x* = 1. Find all three solutions to the equation. Homework Help ✎

Divide 2*x*^{3} + 3*x*^{2} − 8*x* + 3 = 0 by *x* − 1.

Now factor the equation.

2*x*^{2} + 3*x*^{2} − 8*x* + 3 = 0

(*x* − 1)(2*x*^{2} + 5*x* − 3) = 0

Continue to factor and find the three solutions.