(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that F[x]/( g(x) ) is a n-dimensional vector space. where g is in F[x],

and g has degree n.

Its clear that F[x]/( g(x) ) is a vector space and that

B= (1,[tex]x^{2}[/tex],.....,[tex]x^{n-1}[/tex]) spans F[x]/( g(x) ),

but im having trouble showing that B is linearly independent

I realize this is pretty much a HW problem and it should be in the HW section, but I

read a post from one of the pf mentors noting that for gradlevel/seniorlevel problems

you might have a chance at a response from the non hw sections. thanks for any suggestions.

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# Field Theory

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