1. ## [SOLVED] Factoring Polynomials

Hello, All,
I my teacher put our math test off till next class. I did not bring my notebook (thinking we were going to test), so I could not ask my 3 questions. She added the section I had questions about to the test. Please help me:

The directions are,"Factor each term"
I have three problems here, and if one of you guys could just work them out, I will be able to see the patterns. I know the answers, but I just need to see how they are worked out.

I tried googling "factoring polynomials) and this forum, but I guess I don't know how to look, so thanks again for your patience.

(x+3)(x+1)-y(x+1)

$(3x-y)(x^2-2)+(x^2-2)$

$3x(y+z)-9x(y+z)^2$

Sorry 'bout the squares. There is a problem with my superscript.

2. The polynomials you have posted are of the form AB + CB, where the common factor, B, can be pulled out front: AB + CB = B(A + C). To learn how this works, try here.

3. Most humble thanks, but I understand every bit of that link; however, these all have three sets of parentheses. The examples on that link only have two. These problems are more complex, and I am just failing to make the connection.

4. ## hi

hi

You can try to look at it as if you want to "take it apart" as much as possible.
You look for common factors to pull out.

In your last, $3x(y+z) -9x(y+z)^{2} = 3x(y+z)(1 - 3(y+z))$

5. Thank you. I will mark these solved. If a=(x+3), b=y, and x=(x+1) then i would have ax-bx. If I applied this principle to all three problems, they work out like majic. Thank you, guys.