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

Answer with clear explanation.

Find the irreducible factors of x⁶ − 1 over R.

b. Find all monic irreducible polynomials of degree ≤ 3 over Z₃.

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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Expert Solution

Colby Messinger answered 2 years ago

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