Factoring a Polynomial: Finding the Missing Factor in 7X2(X - 2) - (X - 2)

[Ryuk1990]

Homework Statement

7X²(X - 2) - (X - 2)

2. The attempt at a solution

Ok, this is really simple but for some reason I can't figure out why the answer has to be (7X² - 1)(X - 2)

The process is that I have to divide both parts by (X - 2). However, if I do that, I only get 7X² - 1. Where does that (X - 2) come from for the final answer?

 

[rock.freak667]

Homework Statement

7X²(X - 2) - (X - 2)

2. The attempt at a solution

Ok, this is really simple but for some reason I can't figure out why the answer has to be (7X² - 1)(X - 2)

The process is that I have to divide both parts by (X - 2). However, if I do that, I only get 7X² - 1. Where does that (X - 2) come from for the final answer?

you don't divide it, you factor it out.

you'll be left with

{x-2}{7x²(1)-1(1)}

understand?

 

[Ryuk1990]

Ah yes yes yes. I see it now. Thanks. :-)