(r²+12r+36)÷(r+9)

How do I find the quotient using long division? :(

____ r + 3
r+9)r^2+12r+36
_____ r^2+9r
_______ 3r+36
________3r+27
_____________9

Answer: r+3+9/r+9 OR r+3 R (remainder) 9

Basicly, how many times will r (of r+9) go into r^2, it should be r right? Then multiply r by r+9, you get r^2+9r, subtract it from r^2+12r, you get 3r+36...and so on.

I would like someone to check my work for me though, I haven't done this for quite a while already.

Interested in learning synthetic division?

okay. thanks.
I learned synthetic division already. xD

^ Excellent.

That stuff pwns long division hard.

man i havent done long division in 6 years... *laughs at you*

but my teacher FORCES us to use long division to solve thiss.
and if we dont use it on the quiz/test, she'll take off all credit.

^ Yeah, that's pretty dumb. I had to use long division in grade 10, and only learned synthetic division in Math 11 when we did all the stuff about remainder theorems.

I have to agree that synthetic division pwns long division. Long division is a freakin waste of time!

HAHAHA
I HAVENT DONE THAT IN...4.5 YEARS TAKE THAT

Wait, jk...it appeared on the SAT practice tests which btw I have to take in two months

You are never, ever going to use that again.

Haha, okay, I'm good with it now.
I use synthetic division now because I told my teacher that it's a lot easier, so she lets me. :)
She only taught us synthetic division with variable squares without conjugates. So then I decided to teach myself during class because we were just doing worksheets, and she was like "Good girl, Christine!"

:)
Sally, go study.