discriminant

(noun)

An expression that gives information about the roots of a polynomial.

Related Terms

  • zero
  • quadratic

Examples of discriminant in the following topics:

  • The Discriminant

    • The discriminant of a polynomial is a function of its coefficients that reveals information about the polynomial's roots.
    • The discriminant of a quadratic function is a function of its coefficients that reveals information about its roots.
    • The discriminant $\Delta =b^2-4ac$ is the portion of the quadratic formula under the square root.
    • Using $1$ as the value of $a$, $-1$ as the value of $b$, and $-2$ as the value of $c$, the discriminant of this function can be determined as follows:
    • Explain how and why the discriminant can be used to find the number of real roots of a quadratic equation
  • Complex Conjugates

    • This can be seen in the quadratic formula whenever the discriminant $b^2-4ac$ is negative.
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