### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem 8-93

Now Carlos needs to solve

crosses the

*-axis at*

*. What are all three solutions to*

If , then

*.*

So divide

*.*

**2 by 3 rectangle, labeled as follows: left edge, x, minus 1, interior top left, 2, x cubed, bottom expression: 2, x cubed, + 3, x squared, minus 8, x, + 3. An arrow points from the interior 2, x cubed to the bottom, 2, x cubed.**

**Label added: top edge, left, 2, x squared.**

**Label added: interior bottom, left, negative 2, x squared.**

**Label added: interior top middle, 5, x squared, with arrow, going through, interior bottom left, negative 2, x squared, ending, in the bottom expression, at 3, x squared.**

**Label added, top edge, middle, 5, x.**

**Label added, Interior bottom, middle, negative 5, x.**

**Label added, interior top, right, negative 3, x, with arrow, going through, interior bottom, middle, negative 5, x, ending, in the bottom expression, at negative 8, x.**

**Label added, top edge, right, negative 3.**

**Label added, interior bottom, right, 3.**

Write the equation in factored form.

Factor the quadratic expression and use the Zero Product Property to obtain the three solutions.