Etymology

Blend of quadratic +‎ algebraic integerCategory:English blends#QUADRATICINTEGER. The idea of integer here is that if the coefficient of the ${\displaystyle x^{2}}$ term is set to 1 (i.e., if the polynomial is made monic), the other coefficients are integers.

Noun

quadratic integer (plural quadratic integers)Category:English lemmas#QUADRATICINTEGERCategory:English nouns#QUADRATICINTEGERCategory:English countable nouns#QUADRATICINTEGERCategory:English multiword terms#QUADRATICINTEGERCategory:English entries with incorrect language header#QUADRATICINTEGERCategory:Pages with entries#QUADRATIC%20INTEGERCategory:Pages with 1 entry#QUADRATIC%20INTEGER

1. (mathematicsCategory:en:Mathematics#QUADRATICINTEGER) A number (real or complex) which is a solution to an equation of the form ${\displaystyle x^{2}+Bx+C=0}$ for some integers B and C. For example 42, or 2+3i, or ${\displaystyle 1+{\sqrt {-3}} \over 2}$.