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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
Newton Sums and Related Problems
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Subtopics
Idea Behind Newton Sums (High Exponents)
Idea Behind Newton Sums (Low Exponents)
Symmetric Sums of Functions of Polynomial Roots
Roots of Unity Sum Cancellation via Newton Sums
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