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 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
October 27th, 2012, 12:39 PM   #2
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Re: Polinomial math issues

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 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.

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