Q88Section C (Part C)88 of 120

Finite fields, splitting fields and sums of squares

Let $p>2$ be a prime number. Let $\mathbb F_p$ denote the field with $p$ elements and $\overline{\mathbb F}_p$ an algebraic closure of $\mathbb F_p$ . 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.

Select every correct option, then submit.

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