Question 1
Which statement best describes a polynomial that is irreducible over a field?
Question 2
Which polynomial is irreducible in $F[x]$ for every field $F$?
Question 3
Is $x^2-2$ irreducible over $\mathbb{Q}$?
Question 4
Is $x^2+1$ irreducible over $\mathbb{R}$?
Question 5
Is $x^2+x+1$ irreducible over $\mathbb{F}_2$?
