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 over 2” is congruent (-5[1])to one mod p, by Euler’s criterion. A result with this adjective in its name concerns the Legendre symbol of “p over q” times the Legendre symbol of “q over p.” That theorem about modular congruences, which can be used to find “residues” described by this adjective, was proved (10[1])by Gauss and is named for this type of “reciprocity.” This adjective denotes a formula whose discriminant is “b-squared minus 4 (10[1])a c.” (10[1])For 10 points, what adjective denotes polynomials whose leading term is x-squared? ■END■ (10[1])

ANSWER: quadratic [accept quadratic number field; accept quadratic residue; accept quadratic reciprocity; accept quadratic formula or quadratic equation]
<TM, Other Science>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Matthew WestleyPurdueNorthwestern A57-5
Michał GerasimiukStanford BIowa10610
Jacob FinleyNotre Dame AGeorgetown A12710
Matt SchiavoneNorthwestern APurdue12910
Ben HorningGeorgetown BNotre Dame C14210

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