On Roots of Apolar Polynomials
This article continues the exploration of methods based on that of Gian-Carlo Rota that involve apolar invariants used for solving cubic and quintic polynomial equations. These polynomial invariants were disclosed previously as an alternative to and to clarify the umbral method of Rota. Theorems are proved regarding quintic, cubic, and
quadratic polynomials that are pairwise apolar in that they satisfy particular polynomial apolar invariants
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