Ancient Greek philosopher Aristotle identified three categories of persuasion or argument to be used in writing and speaking: pathos, logos, and ethos. Your assignment asks you to explain each of these categories and point out how you can use the three in your writing assignment.
The following link will help to define these categories:
The Purdue Online Writing Lab explains the various forms of persuasion: Logos, Ethos and Pathos and provides help in distinguishing among the categories.
Logos, Pathos, and Ethos are the three primary forms of persuasion.