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Potential error in HW3 (Problem 4.2)

Potential error in HW3 (Problem 4.2)

av Shamiur Rahman Ramim -
Antal svar: 1

Hello, I noticed in Problem 4.2 that we are supposed to determine if the polynomial X^2 + X^2 + 1 is irreducible in (Z/2Z)[X]. Isn't X^2 + X^2 = 2X^2 = 0? Is the question supposed to look like this?