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 (x2−1)a(x)≡x2+x−2(modx3−1). Additionally, is it possible to count the number of solutions in (Z5[x])x3−1 without actually finding them?
Any help is appreciated.
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