Quadratic Polynomial

In mathematics, a quadratic polynomial or quadratic is a polynomial of degree two, also called second-order polynomial. That means the exponents of the polynomial's variables are no larger than 2. For example, x2 − 4x + 7 is a quadratic polynomial, while x3 − 4x + 7 is not.

Read more about Quadratic Polynomial:  Coefficients, Degree, Variables

Other articles related to "quadratic, quadratic polynomial, polynomials":

Discriminant - Nature of The Roots - Quadratic
... Because the quadratic formula expressed the roots of a quadratic polynomial as a rational function in terms of the square root of the discriminant, the roots of a quadratic polynomial are in the same ... Thus in particular for a quadratic polynomial with real coefficients, a real number has real square roots if and only if it is nonnegative, and these roots are distinct if and only if it is ... Further, for a quadratic polynomial with rational coefficients, it factors over the rationals if and only if the discriminant – which is ...
Complex Quadratic Polynomial
... A complex quadratic polynomial is a quadratic polynomial whose coefficients are complex numbers ...
Quadratic Equation - Derivations of The Quadratic Formula - By Lagrange Resolvents
... An alternative way of deriving the quadratic formula is via the method of Lagrange resolvents, which is an early part of Galois theory ... be generalized to give the roots of cubic polynomials and quartic polynomials, and leads to Galois theory, which allows one to understand the solution of algebraic ... Given a monic quadratic polynomial assume that it factors as Expanding yields where and Since the order of multiplication does not matter, one can switch α and β and the values of p and q will not change one ...
Quadratic Polynomial - Variables - N Variables Case
... In the general case, a quadratic polynomial in n variables x1.. ... xn can be written in the form where Q is a symmetric n-dimensional matrix, P is an n-dimensional vector, and R a constant ...