###### 1.

When is a field extension separable?

###### 2.

What are the possible orders for subfields of a finite field?

###### 3.

What is the structure of the non-zero elements of a finite field?

###### 4.

Provide a characterization of finite fields using the concept of a splitting field.

###### 5.

Why is a theorem in this chapter titled “The Freshman's Dream?”