Most important: Ideal, irreducible/reducible polynomials, showing that polynomials are fields, integral domains, or rings, First Isomorphism Theorem for rings.
Questions expected: Definitions, examples, state and prove a theorem.
Need to work on: I am very unfamiliar with all of the theorems. There is so much to know and it's not easy stuff to just memorize. I am not good at proving things. I just don't know where everything comes from.
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