# Find Discriminant Value of Polynomial Quadratic Equation

Computing the discriminant, it is possible to distinguish whether the quadratic polynomial has two distinct real roots, one repeated real root, or non-real complex roots. The discriminant of a quadratic polynomial, denoted by Δ is a function of the coefficients of the polynomial which provides information about properties of the polynomial roots. for quadratic equation ax

^{2}+ bx + c = 0 with real coefficients a, b and c. The discriminant of the polynomial is follows:

Δ = b

^{2}- 4 ac

Quadratic Equation, ax^{2} + bx + c = 0 | |

^{2} + | |

| |

Discriminant Value (Δ) | = |

Let's understand how to find the find discriminant value of polynomial quadratic equation with help of following example:

Supose we wants to find the discriminant value of polynomial quadratic equation => 4x

^{2}+ 5x + 8 = 0.

In this equation the real coefficients are 4, 5 and 8.

The discriminant of the polynomial = Δ = b

^{2}- 4 ac

= 5

^{2}- 4 x 4 x 8

= 25 - 4 x 32

= 25 - 128

= - 103