My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
October 27th, 2012, 12:18 PM   #1
Newbie
 
Joined: Oct 2012

Posts: 1
Thanks: 0

Polynomial math issues

Hi I have some math problems and I will appreciate any attempt to help me. I have tree math problems right now, and only one a few days to solve it


1. P is 9th primitive complex root of unity, find the sum 1+ 2P+3P^2+4P^3 + 5P^4 + 6P^5 + 7P^6 + 8P^7 + 9P^8.
The 9th complex root of unity is not only one how am I supposed to find the sum

2. Find u(x) and v(x) which solves the equation x^4 u(x) + (1-x)^5 v(x) = 1
3. Z dash(complex conjugate) = z^3


Thx. to every one in advance
math_sooper_noob is offline  
 
October 27th, 2012, 12:39 PM   #2
Senior Member
 
Joined: Aug 2012

Posts: 2,308
Thanks: 706

Re: Polinomial math issues

Quote:
Originally Posted by math_sooper_noob
Hi I have some math problems and I will appreciate any attempt to help me. I have tree math problems right now, and only one a few days to solve it


1. P is 9th primitive complex root of unity, find the sum 1+ 2P+3P^2+4P^3 + 5P^4 + 6P^5 + 7P^6 + 8P^7 + 9P^8.
The 9th complex root of unity is not only one how am I supposed to find the sum
Play around with the factorization of z^9 - 1 = (z - 1)(1 + z + z^2 + ... + z^. That gives you one polynomial relationship about an arbitrary 9-th root.

Probably something along those lines will work. Also, what do you know about a primitive 9-th root as opposed to an arbitrary 9-th root? Maybe that will help.

Just ideas of how to approach this.
Maschke is online now  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
issues, math, polynomial



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Are there issues with this? CherryPi Calculus 10 April 21st, 2012 10:23 PM
ISSUES with circles... tinyone Calculus 5 September 11th, 2010 08:00 AM
Solvability issues raiseit Math Events 1 June 1st, 2010 01:38 AM
I am having some issues learning a certain math.... skibblesx Algebra 1 June 12th, 2009 10:15 AM





Copyright © 2019 My Math Forum. All rights reserved.