# How do you factor #3x^2 + 4x + 1#?

##### 2 Answers

You find its roots and then turn them into factors, as follows.

Using Bhaskara, let's find the roots:

Now, we can rewrite your function as

There are a few ways to factor

One is essentially trial and error:

We know how to multiply binomials. now we want to find two binomials whose product is

The product of the

The product (multiply) of the constants (the "other numbers" -- and the L in FOIL) must be

So if it can be factored using integers, the factoring must be:

**check** this.

**Why do we need to check?**

We would have followed exactly the same reasoning to try to factor