Question

The Fundamental Theorem of Algebra asserts that every non-constant polynomial has at least one root from these numbers. For 10 points each:
[10m] Name these numbers. Quadratic equations with a negative discriminant have numbers in this set as solutions.
ANSWER: complex numbers [reject “imaginary numbers”]
[10e] Complex numbers are the sum of an imaginary number and one of this set of numbers that can be found on a number line.
ANSWER: real numbers
[10h] This formula, named for a Frenchman, relates imaginary and real numbers by expressing powers of complex numbers in terms of trigonometric functions.
ANSWER: De Moivre's (“deh-MWAHV-es”) formula
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Data

TeamOpponentPart 1Part 2Part 3Total
USN AUSN B10101030
USN CMerrol-Hyde0101020
VanderbiltUSN MS010010

Summary

TournamentEditionExact Match?HeardPPBEasy %Medium %Hard %
Snowball Fight 21/11/2025Y320.00100%33%67%
2024 FARSI @ Columbia12/08/2024N1120.9191%55%64%