Factor: 2x^2 - 3x - 4x + 6
oh my god help me

Explanation:

I'll group it in a way that I can get common factor numbers.

I can see that 2 and 4 are factorable by 2 and 3 and 6 by 3

What do these have in common? 2 and 4 have a 2 in common and they also share an x.

Now, what does 3 and 6 have in common? a three. However, we don't usually let our x's be negative, so in order to keep it positive, extract a -3 instead of 3

so, -3/-3 = 1

6/-3=-2

Leaving...

Now, put all together.

Look, what do they have in common? Exactly, both have , simply add the terms outside the parentheses and use the same parentheses.

If you don't understand why I did this, let x-2 = y

So, you have...

Factor that y.

Replace y with our original value.

Same result.