The polynomial 6xy + 3y – 4x – 2 can be factored into (2x + 1) times

Question

parthkohli · Answer

Do you know polynomial division?

parthkohli · Answer

What you have to do is:

$\Large {6xy + 3y - 4x - 2 \over 2x + 1}$

ledah · Answer

Wasn't taught polynomial division in school my teachers were really ancient.

lgbasallote · Answer

2x + 1 and 2x + 2?

ledah · Answer

so it looks like its 3y-2

parthkohli · Answer

Oopsie

lgbasallote · Answer

you factored wrongly but it is factorable

parthkohli · Answer

$ \color{Black}{\Rightarrow 3y(2x +1) - 2(2x + 1)}$

lgbasallote · Answer

6xy - 4x + 3y - 2

(6xy - 4x) + (3y - 2)

2x(3y - 2) + (3y-2)

(3y-2)(2x + 1)

parthkohli · Answer

$ \color{Black}{\Rightarrow (3y - 2)(2x + 1)}$

parthkohli · Answer

Now you cancel them.

ledah · Answer

Ah okay. So since what Lgba did, I think he distributed correct?

parthkohli · Answer

So yeah, it does look like $3y - 2$.

lgbasallote · Answer

it works any way lol

parthkohli · Answer

He did. I just committed a mistake in between.

parthkohli · Answer

But do you get it now?

lgbasallote · Answer

i was just proposing an alternate factoring :) to show what is the result

ledah · Answer

Yeah I think I have it down now. 
Thanks a lot

parthkohli · Answer

Weird how you still get the solution correct, despite the wrong method :P