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Algebra Revisited
Polynomial and Rational Expressions
One-Variable Polynomials and Rational Expressions
Relating Polynomial Roots, Factors, and Coefficients
Symmetry in Polynomial Roots and Factors, with Applications
Solving/Factoring "Simple" or Low-Degree Polynomials
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Subtopics
Different Ways of Solving the Quadratic, via Square Roots
Cardano's Formula: Solving the Cubic in Terms of Radicals
Recap: Solving x^n-c (Finding Complex nth Roots)
Solving the Quartic in Terms of Radicals
Unsolvability of the Quintic, and Prelude to Galois Theory
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