
Exam Prep Rise· Staffel 48· Folge 59
MATSEC AM Pure Mathematics Complete Prep Course — Lesson 59: Complex roots of polynomials
Sonntag, 25. Oktober 2026 · 8 min
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Shownotes
Sarah solves x squared minus four x plus thirteen with a negative discriminant, reading the root of minus thirty six as six i. She then teaches the conjugate root theorem for real coefficients, builds the real quadratic factor from the pair using twice the real part and the modulus squared, divides a cubic by it, and uses Vieta and real-imaginary splitting to recover unknown coefficients.
Lesson 59 of 158 in the MATSEC AM Pure Mathematics Complete Prep Course audio course from ExamPrepRise.
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