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
[10e] Complex numbers are made up of imaginary numbers and 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
<Science - Other Science - Math>
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total |
|---|---|---|---|---|---|
| Downingtown STEM | Hastings B | 10 | 10 | 10 | 30 |
| East Brunswick B | moving finger C | 0 | 0 | 0 | 0 |
| Eastchester | Mather A | 0 | 10 | 10 | 20 |
| Great Valley | Trinity B | 0 | 10 | 0 | 10 |
| Hunter A | Hastings A | 0 | 10 | 10 | 20 |
| Hunter B | Daniel Boone Academy | 10 | 10 | 10 | 30 |
| Mather B | BASIS-Independent Brooklyn | 10 | 10 | 10 | 30 |
| Mather C | North Babylon B | 0 | 10 | 0 | 10 |
| Stuyvesant A | moving finger B | 10 | 10 | 0 | 20 |
| Trinity A | Stuyvesant B | 10 | 10 | 10 | 30 |
| moving finger A | East Brunswick A | 10 | 10 | 10 | 30 |
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| Snowball Fight 2 | 1/11/2025 | N | 3 | 20.00 | 100% | 33% | 67% |
| 2024 FARSI @ Columbia | 12/08/2024 | Y | 11 | 20.91 | 91% | 55% | 64% |