Science and Technology news... :: View topic - Trinomial Decic: x^10+ax+b = 0; Help with Mathematica code

Guest

Hello guys,

I need some help with Mathematica code.

It is easy to eliminate "n" between the two eqn:

-a + m^9 - 8m^7n + 21m^5n^2 - 20m^3n^3 + 5mn^4 = 0
-b + m^8n - 7m^6n^2 + 15m^4n^3 - 10m^2n^4 + n^5 = 0

using the Resultant[] command to find the rather simple 45-deg
polynomial in "m", call it R(m).

As Mathematica runs through integral values of {a,b}, if for some
{a,b} the poly R(m) factors, we are interested in two cases:

Case1: an irreducible decic factor
Case2: an irreducible quintic factor

What is the Mathematica code that tells us what {a,b} gives Case1 or
Case2?

Thanks. :-)

Tito


www.GetXFactor.com Leading Technology, Science, Agriculture News and information	Part of the Identityscape.com network... getxfactor.com jmoodmusic.com smartbusinesschoices.com mintdepot.com lowfaresalways.com evangelicalview.com shoppingpodder.com soproudlywehail.com webnews.ws currenthumor.com

Science and Technology news... Forum Index -> Math - Symbolic Forum
Page 1 of 1