In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a …

To find the discriminant of a cubic equation or a quadratic equation, we just have to compare the given equation with its standard form and determine the coefficients first. Then we substitute …

The discriminant is the part of the quadratic formula found within the square root. For a quadratic of the form a𝑥2 + b𝑥 + c, its discriminant is b2 – 4ac.

Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation, ax^2 + bx + c = 0, the …

For a x 2 + b x + c = 0, where a, b, and c are real numbers, the discriminant is the expression under the radical in the quadratic formula: b 2 4 a c. It tells us whether the solutions are real …

The discriminant of a quadratic polynomial, denoted Δ, Δ, is a function of the coefficients of the polynomial, which provides information about the properties of the roots of the polynomial.

13.5: The Discriminant is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

Jan 1, 2026 · This concept explores the discriminant and how to use the discriminant to describe the roots and graph of a quadratic function.

In mathematics, the discriminant is a specific part of the quadratic formula used to analyse a quadratic equation of the form ax² + bx + c = 0. It is the expression found under the square …

The discriminant describes a characteristic of the roots of polynomials. It discriminates different polynomials of the same type from each other.