I have one more problem...

I want to find all rings Zn, such the polynomialx+2divides polynomial(x^5)-10x+12.

Could anybody help me?

Thanks, this is a new topic for me...(Worried)

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- Mar 30th 2009, 02:07 PMsidipolynomials
I have one more problem...

I want to find all rings Zn, such the polynomial*x+2*divides polynomial*(x^5)-10x+12*.

Could anybody help me?

Thanks, this is a new topic for me...(Worried) - Mar 30th 2009, 02:49 PMNonCommAlg
- Mar 31st 2009, 03:46 PMsidi
of course, -2 is root of that polynomial...I know. I think it should work, that it is divisible in any ring, but I canīt find the reason...

Zn isnīt a subring of Z, or am I wrong?? - Mar 31st 2009, 04:41 PMNonCommAlg
- Mar 31st 2009, 04:53 PMsidi
can you give me one more hint please? I am really trying to find out why it is so in any ring, but Iīm afraid Iīm not able to do it now. I have passed an exam (not algebra) few hours ago, Iīm exhausted, but I really want to do my homework...