Register    Login    Search    Rss Feeds

Forums Home » Ask An Instructor » GMAT Math » General Math Questions


 Page 1 of 1 [ 2 posts ] 



  Print view Print view Previous topic Previous topic | Next topic Next topic
 

polynomial division!!!!plz help

Author Message
ashishunleashed
 Post subject: polynomial division!!!!plz help
 Post Posted: Mon May 03, 2010 10:16 pm 
Offline
Students


Posts: 1
The remainder when n ^12- 12 ^n2 + 132 is divided by 11 is

pl help with this que and other such que, where we are asked to find remainder of a high power polynomial
Top 
jnelson0612
 Post subject: Re: polynomial division!!!!plz help
 Post Posted: Sun Nov 28, 2010 2:52 pm 
Offline
ManhattanGMAT Staff


Posts: 1857
ashishunleashed wrote:
The remainder when n ^12- 12 ^n2 + 132 is divided by 11 is

pl help with this que and other such que, where we are asked to find remainder of a high power polynomial


To me the easiest way to solve this is to plug in some easy numbers. Clearly the remainder is the same for all values of n, so why not check out a few?

If I choose n is 0, I get 0^12 - 12^(0)^2 + 132 = 132. 132 is divisible by 11, so no remainder.

If I choose n is 1 and run it through the formula above, I get 1 - 12 + 132 = 121. 121 is divisible by 11, so no remainder.

At this point I would feel very comfortable answering that zero is the remainder, but if you want you could even plug in 2. You would get 4096 - 48 + 132 = 4180, which is also divisible by 11 (38 times). Clearly zero is the answer.

_________________
Jamie Nelson
ManhattanGMAT Instructor
Top 
Display posts from previous:  Sort by  
 
 Page 1 of 1 [ 2 posts ] 





Who is online

Users browsing this forum: No registered users and 1 guest

 
 

 
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to: