Write the polynomial (a) as the product of factors that are irreducible over the rationals, (b) as
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(a) as the product of factors that are irreducible over the rationals,
(b) as the product of linear and quadratic factors that are irreducible over the reals, and
(c) in completely factored form.
1. f (x) = x4 + 2x2 - 8
2. f (x) = x4 + 6x2 − 27
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