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Competitive Stats
Q87Section C (Part C)87 of 120

Irreducibility of X5±X+1X^5\pm X+1 over Q\mathbb Q

Let f(X)=X5+X+1∈Q[X]f(X)=X^5+X+1\in\mathbb Q[X] and g(X)=X5−X+1∈Q[X]g(X)=X^5-X+1\in\mathbb Q[X]. Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.