Tossup

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

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