Question: Repeat Exercise 14 with g(x) = x 2 + 6x + 12 in place of f(x). Data from Exercise14 Show that f(x) = x 2

Repeat Exercise 14 with g(x) = x2 + 6x + 12 in place of f(x). 

Data from Exercise14

Show that f(x) = x2 + 8x - 2 is irreducible over Q. Is f(x) irreducible over R? Over C?


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