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#1 2016-09-20 03:49:41

evene
Member
Registered: 2015-10-18
Posts: 272

8 System of Equation

Sorry that I've been posting a lot of problems lately...

I need to find
in the function

I'm trying to factor the octic

into two Quartics. (It should be factorable by the way!)

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#2 2016-09-20 04:18:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 8 System of Equation

It can be factored into two quartics but not over the integers. It has irrational coefficients.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2016-09-20 05:55:22

evene
Member
Registered: 2015-10-18
Posts: 272

Re: 8 System of Equation

Oh... But do you know what are the two Quartics? Wolfram Alpha isn't capable of understanding my input, for some weird reason. Really wish I had Mathematica.

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#4 2016-09-20 09:47:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 8 System of Equation

This is the factorization:

Mathematica can not directly factor this, it requires a trick.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-09-20 10:59:05

evene
Member
Registered: 2015-10-18
Posts: 272

Re: 8 System of Equation

What is the trick? Is it an algebraic trick that anyone can use without the use of a computer, or is it a trick in Mathematica?

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#6 2016-09-20 11:07:48

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 8 System of Equation

It is a trick in Mathematica. You have to give him additional information namely, that your polynomial can not be factored over the integers and you must tell him to factor over a algebraic number field, in this case sqrt(5).


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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