Root Quest: The Fundamental Theorem of Algebra

Join us as we trace the journey from real-number dilemmas to the complex plane, uncovering why every polynomial has a complex root, exploring its history from early hints to rigorous proofs by Argand and Gauss, and contrasting non-constructive with constructive approaches. We’ll also survey the theorem’s equivalent formulations and what they reveal about the power and beauty of complex numbers.

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