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Determine whether the polynomial is reducible or irreducible in the given polynomial ring. Justify your answers. (c)...

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Advance Math

Determine whether the polynomial is reducible or irreducible inthe given polynomial ring. Justify your answers.

(c) x^4 + 1 in Z5[x]

(e) 2x^3 ? 5x^2 + 6x ? 2 in Z[x]

(f) x^4 + 4x^3 + 6x^2 + 2x + 1 in Z[x]. Hint: Substitute x ? 1for x.

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