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Answer with clear explanation. Find the irreducible factors of x6 ? 1 over R. b. Find all...

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Advance Math

Answer with clear explanation.

Find the irreducible factors of x6 ? 1 over R.

b. Find all monic irreducible polynomials of degree ? 3 overZ3.

c. Find a polynomial q(x) such that (x2 + 2x + 1)q(x)?= 1(mod x3 + x 2 + 1) over Z3.

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