8 System of Equation

evene · 2016-09-20 03:49:41

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!)

bobbym · 2016-09-20 04:18:30

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

evene · 2016-09-20 05:55:22

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.

bobbym · 2016-09-20 09:47:27

This is the factorization:

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

evene · 2016-09-20 10:59:05

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?

bobbym · 2016-09-20 11:07:48

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).

Math Is Fun Forum

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

8 System of Equation

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

Re: 8 System of Equation

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

Re: 8 System of Equation

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

Re: 8 System of Equation

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

Re: 8 System of Equation

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

Re: 8 System of Equation

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