# How do you factor 14m² +19mn - 3n²?

##### 2 Answers

Factor this expression like factoring a trinomial in x. Call m = x.

I use the new AC Method (Google, Yahoo Search) to factor trinomials

Converted trinomial:

with

Compose factor pairs of

Then, p' = -2n and q' = 21n.

We get:

Factored form:

Check by developing and replace x by m

Correct..

Because the quadratic

You can consider

The discriminant is given by the formula:

The roots of

So one root is

and the other is

Multiplying the first of these by

Multiplying the second by

We therefore find that:

and hence that: