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What does discriminant mean?

Looking for the meaning or definition of the word discriminant? Here's what it means.

Noun
  1. (algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b2 - 4ac determines whether the roots of the quadratic equation ax2 + bx + c = 0 are real and distinct (D > 0), real and equal (D = 0) or complex (D < 0).
  2. (geometry) The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in Pn-1 is singular.
Adjective
  1. Serving to discriminate.
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