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Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3...

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Advance Math

Determine whether the polynomial f(x) is irreducible over theindicated field. (a) f(x) = 4x^ 3 + 10x^2 + 16x ? 11 over Q (b)f(x) = 7x^ 4 ? 9x^ 2 + 6 over Q (c) f(x) = x^3 ? x + 1 over Q (d)f(x) = x ^4 + 2x ^2 + 2 over Q (e) f(x) = x^ 4 + 2x^ 2 + 2 over C(f) f(x) = x ^4 + 2x^ 2 + 2 over R (g) f(x) = x ^2 + 2x ? 3 overZ-5 (h) f(x) = x ^3 ? 2 over Z-7

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