Topics in Factoring Polynomials over Rationals/Integers

Numbered in the order to learn them.

  1. Integer Polynomials: Definition and Arithmetic of Z[x]

  2. Rational Polynomials: Definition and Arithmetic of Q[x]

  3. Examples of Factoring Polynomials over the Rationals

  4. Examples of Integer Polynomial Factoring and Irreducibility

  5. Rational Roots Theorem (RRT)

  6. Content of a Polynomial (Coefficient GCD), and Primitivity

  7. Integer Polynomial "Content" Is Multiplicative

  8. Gauss's Lemma (For Polynomials) and Significance

  9. Common Polynomial Irreducibility Criteria

Type a concept, like “slope” or “photosynthesis”.

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