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, *x*2 − 4*x* + 7 is a quadratic polynomial, while *x***3** − 4*x* + 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

... 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 ... 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 positive ... Further, for a**quadratic polynomial**with rational coefficients, it factors over the rationals if and only if the discriminant – which is necessarily a rational number, being a ...Complex

... A 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

... An alternative way of deriving the

**quadratic**formula is via the method of Lagrange resolvents, which is an early part of Galois theory ... This method can be generalized to give the roots of cubic**polynomials**and quartic**polynomials**, and leads to Galois theory, which allows one to understand the solution ... Given a monic**quadratic polynomial**assume that it factors as Expanding yields where and Since the order of multiplication does not matter, one can ...**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 ...