# How do you solve #3x^3 -2x^2 -12x + 8 = 0#?

##### 2 Answers

With a large polynomial like this, you'll need to factor in order to isolate the x and solve for it.

#### Explanation:

This is the equation you're given:

Separate the polynomial into two parts, and factor that way.

You can factor out

The fully factored polynomial is

But remember... the question asks you to solve the equation.

Set the factored polynomial to zero and solve for x (you will end up with three values of x):

Your final answers are

#### Explanation:

Common factors

Three solutions (B.S

(1)

(2)

(3)

So, the problem has 3 solutions,

-Fish