Wednesday, 5 August 2015

number theory - Congruence in mathbbZ5[x]

I'm not really sure how to approach this problem, since it doesn't seem similar to solving linear congruences in Zm.



Find all solutions in Z5[x] to the congruence (x21)a(x)x2+x2(modx31). Additionally, is it possible to count the number of solutions in (Z5[x])x31 without actually finding them?



Any help is appreciated.

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