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Show the following polynomials are irreducible. All answers should be justified. If you find that the...

Show the following polynomials are irreducible. All answers should be justified. If you find that the polynomial is reducible then factor as much as possible in the given ring.

a) ?3 + 3 in ??.

b) ?2 + 7 in ?

c) ?3 + 2?2 + 7? − 1 in ?

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