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

##### 2 Answers

How did I find this?

We are looking for factors in the form

Comparing this with our original quadratic we find:

If

We might as well pick the first of these, they will ultimately give very similar factorisations.

Let

Notice that

So we are looking for two negative whole numbers

That only leaves the possibility

We can **Split the Middle Term** of this expression to factorise it

In this technique, if we have to factorise an expression like

and

After trying out a few numbers we get