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 ax2 + bx + c = 0 with real coefficients a, b and c. The discriminant of the polynomial is follows:
Δ = b2 - 4 ac
Quadratic Equation, ax2 + bx + c = 0
x2 + x + = 0
 
 
 
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 => 4x2 + 5x + 8 = 0.
In this equation the real coefficients are 4, 5 and 8.
The discriminant of the polynomial = Δ = b2 - 4 ac
= 52 - 4 x 4 x 8
= 25 - 4 x 32
= 25 - 128
= - 103