Given n ∈N and p prime number and consider the polynomial f (x) = xn...
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Advance Math
Given n ∈N and p prime number and consider the polynomial f (x) = xn (xn-2)+1-p
1)Prove that f (x) is irreducible in Q [x]2) If n = 1 and p = 3, find Q [x] / f (x))3) Show that indeed Q [x] / (f (x)) is a field in the previous paragraph
PLEASE answer all subsections
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First to prove the irreducibility off we will
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