Question

This adjective denotes a type of imaginary field of which there exist nine with unique factorization, which is the “n equals one” case of the class number problem. An integer x is a type of number denoted by this adjective with respect to a prime p if and only if x to the “p-minus-one (-5[1])over 2” is congruent (-5[1])to one mod p, (-5[1])by (-5[1])Euler’s criterion. (10[2])A result with this adjective in its name concerns (10[1])the Legendre symbol of “p over q” times the Legendre (10[1])symbol of “q over p.” That theorem about modular congruences, which can be used to find “residues” described by this adjective, (10[1])was proved (10[1])by Gauss and is named for this type of “reciprocity.” (10[2])This (10[1])adjective denotes a formula whose discriminant is “b-squared (10[1])minus 4 (10[2])a c.” (10[4])For 10 points, what adjective denotes polynomials whose leading term is x-squared? ■END■ (10[3]0[1])

ANSWER: quadratic [accept quadratic number field; accept quadratic residue; accept quadratic reciprocity; accept quadratic formula or quadratic equation]
<TM, Other Science>
= Average correct buzz position

Summary

Great Lakes2025-02-01Y6100%0%17%122.67
Lower Mid-Atlantic2025-02-01Y1100%0%0%127.00
Midwest2025-02-01Y1100%0%0%83.00
Northeast2025-02-01Y3100%0%0%67.00
Overflow2025-02-01Y4100%0%25%126.00
Pacific Northwest2025-02-01Y2100%0%0%127.00
South Central2025-02-01Y250%0%50%117.00
UK2025-02-01Y1100%0%100%142.00

Buzzes

PlayerTeamOpponentBuzz PositionValue
Eveline OngOxford ACambridge A53-5
Matthew WestleyPurdueNorthwestern A57-5
Stefan Stealey-EuchnerASUTAMU61-5
Yashwanth BajjiMichigan AKenyon62-5
Philip YaoBrown AHarvard A6410
Nathaniel MartinBrandeis ATufts A6410
Luke RobitailleMIT ABrandeis B7310
Ezra SantosChicago BMissouri8310
Leo TaoMichigan CCarnegie Mellon A10410
Michał GerasimiukStanford BIowa10610
Calvin BostlemanOhio State AMichigan D11610
Aditya PatnaikOhio State BCarnegie Mellon B11610
Viraj NegandhiTexas BTexas A11710
Yaj JhajhriaUW BUW A12510
Joseph ChambersVirginia AVirginia Tech A12710
Jacob FinleyNotre Dame AGeorgetown A12710
Angelo PanCase Western BMichigan B12910
Sai SubramanianCase Western AMichigan State12910
Matt SchiavoneNorthwestern APurdue12910
Anne FjeldAlbertaUBC12910
Noah DeanKenyonMichigan A14210
Ben HorningGeorgetown BNotre Dame C14210
John Luke BroussardTAMUASU1420
Agnijo BanerjeeCambridge AOxford A14210