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Algebra Revisited
Polynomial and Rational Expressions
One-Variable Polynomials and Rational Expressions
Polynomial Roots and Remainder/Factor Theorems
Degrees of Freedom vs. Degree of Polynomial
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Subtopics
How Many Roots/Factors Can a Polynomial Have?
(Strong) Identity Theorem for Polynomials
Polynomial Interpolation
(Stronger) "Algebraic" Identity Theorem for Polynomials
Algorithm for Testing Polynomial Equality
Combinatorial Nullstellensatz
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