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Discriminant - Wikipedia
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 polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial … See more
The term "discriminant" was coined in 1851 by the British mathematician James Joseph Sylvester. See more
Let
$${\displaystyle A(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots +a_{1}x+a_{0}}$$
be a polynomial of See moreThe discriminant of a linear polynomial (degree 1) is rarely considered. If needed, it is commonly defined to be equal to 1 (using the usual conventions for the empty product and considering that one of the two blocks of the Sylvester matrix is empty). There is no … See more
Zero discriminant
The discriminant of a polynomial over a field is zero if and only if the polynomial has a multiple root in some field extension.
The discriminant of a polynomial over an integral … See moreThe typical use of discriminants in algebraic geometry is for studying plane algebraic curves, and more generally algebraic hypersurfaces. Let V be such a curve or hypersurface; V is defined as the zero set of a multivariate polynomial. This polynomial may be … See more
There are two classes of the concept of discriminant. The first class is the discriminant of an algebraic number field, which, in some cases including quadratic fields, is the discriminant of a polynomial defining the field.
Discriminants of the … See moreWikipedia text under CC-BY-SA license - bing.com › videosWatch full video
Discriminant - Formula, Rules, Discriminant of Quadratic …
See more on cuemath.comThe discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e., 1. Δ OR D = b2 − 4ac Do you recall using b2 − 4ac earlier? Yes, it is a part of the quadratic formula: x = −b±√b2−4ac2a−b±b2−4ac2a. Here, the expression that is inside the square root of the quadratic formula is call…A Complete Guide to the Discriminant of Quadratic
Discriminant – Explanation, Formula and Relationship between …
Dec 17, 2020 · Learn what discriminant is and how to use it to find the nature of roots of quadratic and cubic equations. See the discriminant formulas, examples and FAQs on discriminant.
Discriminant in Math For Polynomial Equation - BYJU'S
Discriminant is a term in a quadratic formula that determines the nature of the roots of a quadratic equation. Learn how to calculate the discriminant for polynomials of different degrees and see …
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Discriminant | Definition, Examples, & Facts | Britannica
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 …
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The Discriminant in Quadratic Equation
Learn how to use the discriminant to find the number and nature of the solutions of any quadratic equation. See examples, formulas, graphs, worksheets and interactive tools.
The Discriminant - A Level Maths Revision Notes
Nov 29, 2024 · Learn about using the discriminant for your A level maths exam. This revision note covers what the discriminant is, and worked examples.
Discriminant Definition (Illustrated Mathematics Dictionary) - Math …
Discriminant is the expression b2 − 4ac used to solve quadratic equations. It determines the type of solutions: real or complex, and how many of them.
Using the discriminant to determine the number of …
The discriminant is \({b^2} - 4ac\), which comes from the quadratic formula and we can use this to find the nature of the roots. Roots can occur in a parabola in 3 different ways as shown in the...
Study Guide - The Discriminant - Symbolab
Learn how to use the discriminant, or the expression under the radical in the quadratic formula, to classify solutions to quadratic equations. See examples, graphs, and video explanations of the …
Quadratic Discriminant | Brilliant Math & Science Wiki
Learn how to compute and interpret the discriminant of a quadratic polynomial, which determines the number and nature of its roots. See examples, explanations, and problem solving tips on …
Discriminant Calculator
The discriminant calculator is here whenever you need to find the discriminant of any polynomial whose degree is between two and five.
Discriminant Formulas - What are Discriminant Formulas?
Learn what is the discriminant of a polynomial equation and how to find it using formulas. The discriminant determines the number and nature of the roots of a quadratic or cubic equation.
Discriminant - Encyclopedia of Mathematics
Dec 9, 2016 · Discriminant is a term that has different meanings in various contexts, such as polynomials, forms, algebras, fields, and global fields. Learn the definitions, properties, and …
The Discriminant | Intermediate Algebra - Lumen Learning
Learn how to use the discriminant, or the expression under the radical in the quadratic formula, to classify solutions to quadratic equations. See examples, video, and summary of the …
Quadratic Formula - Discriminant
Step 1: calculate the discriminant, using the formula: \[\Delta = b^2 - 4ac\] Step 2: solve the quadratic equation, which depends on the sign of the discriminant \(\Delta\), which leads to …
Using the Discriminant - MathBitsNotebook(A1 - CCSS Math)
In Algebra 1, the discriminant is used to verify that there are no real solutions or roots for quadratic equations. When solving a quadratic equation, we are usually searching for the two solutions …
Discriminant - (Calculus I) - Vocab, Definition, Explanations
The discriminant is a mathematical expression that determines the nature of the roots of a quadratic equation. It is a value that provides information about the number and type of …
What is the Discriminant? - Virtual Nerd
Learn what the discriminant of a quadratic equation is and how to use it to find the number and type of solutions. Watch videos and get hints and links to related topics on quadratic equations …
Linear Discriminant Analysis (LDA) | Machine Learning
Mar 19, 2025 · In this video, we take a closer look at Linear Discriminant Analysis (LDA), a method for dimensionality reduction that focuses on preserving class informatio...
Linear Discriminant Analysis (LDA) - The Decision Lab
Linear discriminant analysis (LDA), also known as normal discriminant analysis (NDA) or discriminant function analysis (DFA), is a powerful dimensionality reduction technique widely …
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