What is meant by a "simple extension" of a field K? * If you are not sure, explain what you are not sure about. Your answer Let K be a field, and let F = K[x]/<p(x)>, where p(x) is an irreducible polynomial of degree n in K[x]. What is the degree of F over K? * Explain. If you are not sure, explain what you are not sure about. Your answer Let K SE be a field extension, and let u Є E be algebraic of degree n over K. Give a basis for K(u). * Explain. If you are not sure, explain what you are not sure about.