- #1

zeion

- 466

- 1

## Homework Statement

Factor [tex]6w^2 - 5wt - 4t^2[/tex]

## Homework Equations

## The Attempt at a Solution

[tex]= 6w^2 + 3wt - 8wt - 4t^2[/tex]

[tex]= 3w(2w + t) - 4t(2w + t) [/tex]

[tex]= (3w - 4t)(2w + t) [/tex]

I was able to figure out what to use for splitting up the -5wt after a lot of trial and errors, but I was just wondering if there was a general rule for finding out what to use to factor things in this form?

I noticed that I needed them to be opposite signs and is half of the coefficient of the first term and twice of the last.