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In: Advanced Math

If F is a field and ?(?),?(?),h(?) ∈ ?[?]; and h(?) ≠ 0. a) Prove that...

If F is a field and ?(?),?(?),h(?) ∈ ?[?]; and h(?) ≠ 0.

a) Prove that [?(?)] = [?(?)] if and only if ?(?) ≡ ?(?)(???( (h(?)).

b) Prove that congruence classes modulo h(?) are either disjoint or identical.

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