# How do you factor #2x^3 + 4x^2 - 8x#?

##### 2 Answers

First, we must identify the common elements in this function. Let's just disaggregate them for a while:

Note that the three of them are multiplied by

As inside the parenthesis we have a quadratic, we can solve it and find its roots, which are

We can rewrite these roots as

...and use these as our factors:

The discriminant of this quadratic is

Since this is positive, the quadratic equation

The roots of

So

and

So if we are allowed irrational factors,

Otherwise, we have to stop at