Separability, Math Question

the research topic will be on (Algebra-Hungerford) (Separability). The attached chapter is just a sample of the topic and you can use other resources or books on Algebra and field theory. Write a paper of at least 5-8 pages (or more if needed), similar in nature in typesetting of the attached (Example). You may start with introduction, list the necessary definitions, theorems and proofs of the subject, and you may provide some examples. At the end, you may include a list of references. You should not copy exactly from the book, paper, or internet. You need to rewrite it in your own words (that means write in ((basic English word)