# Dividing Polynomials AND Factoring Polynomials

• Nov 29th 2005, 01:30 PM
Joe
Dividing Polynomials AND Factoring Polynomials
Hi everyone!

I had a few questions regarding polynomials.

1) I am confused about dividing variables. If you have an x/x is that still x? or do they cancel each other out? For example 4x/2x = 2x or 2?
Also what if one has a square? 4xsquared/2x is that 2x?
What if both have squares?

2) Common Factoring
Is there a simple way to find the greatest common factor in a set of polynomials?
12x + 18y GCF= 6 correct?
2mn-n GCF= n?
= 2(2mn-n)? when you divide the terms by n is this what i should get? This is kinda of where my first question comes in.

Thanks so much!

I really appreciate the help!
• Nov 29th 2005, 01:46 PM
Jameson
1)$\displaystyle \frac{x}{x}=1$. Anything over itself, provided it's not zero is 1. That's some property which I don't remember the name of right now. As for higher polynomials, take this into account: $\displaystyle \frac{x^n}{x^a}=x^{n-a}$. See how that applies to your question.

2. Using your example, you have the GCF. For the second one, check it out again. You have 2mn-n. What term is included in both parts?

Jameson
• Nov 29th 2005, 02:29 PM
Joe
Just n, isn't it?
• Nov 29th 2005, 02:36 PM
Jameson
Yes :)
• Nov 29th 2005, 03:04 PM
Joe
Ok last question on the topic; you really have cleared things up for me! Thanks!

If you divide 2mn by n you are left with 2mn right? I'm confused on that part.
• Nov 29th 2005, 03:22 PM
Jameson
Quote:

Originally Posted by Joe
Ok last question on the topic; you really have cleared things up for me! Thanks!

If you divide 2mn by n you are left with 2mn right? I'm confused on that part.

$\displaystyle \frac{2mn}{n}=\frac{2m}{1}*\frac{n}{n}=?$

That should help.