discriminant

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.