# How do you factor #24x^2-76x+40#?

##### 3 Answers

First, let's simplify this dividing the equation by

Then, we have to find its roots:

Now, let's just factor these.

Done.

From the rational root theorem, if

Notice that

Let us try

So in summary,

To factor

We need two numbers that multiply to give us

A little thought should convince us that both numbers must be negative. We proceed in order:

**do** add up to

We'll split the

Now factor by grouping:

**So we finish with:**