I am reviewing some problems from polynomial rings and hope that someone can tell me if I am on the right track..
PROBLEM: Let . If show that divides .
What I have done: or
Thus is a factor of
Is this even close???? Thanks in advance
Last edited by ginafara; May 28th 2008 at 10:22 PM.
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In my opinion (it's not the field I prefer), there is a problem : Originally Posted by ginafara
so here, because from r(a)=0, you state that
Plus, if you go this way, you can directly say that since it's the null function ~
i think you are actually done but you missed some reasons.
note that or , that is
but the case cannot happen otherwise is a constant and that .
thus , that is is a constant function. but you have shown that and therefore .
If then .
Thus, since ,it follows so .
And thus .
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