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mathematical expression of the second degree in one or more unknowns (see polynomialpolynomial,
mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a0xn+a1x
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). The general quadratic in one unknown has the form ax2+bx+c, where a, b, and c are constants and x is the variable. A quadratic equation ax2+bx+c=0 always has two rootsroot,
in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function. If f is a polynomial, r is called a root of f; for example, r=3 and r
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, not necessarily distinct; these may be real or complex (see numbernumber,
entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their
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). The quadratic formula

gives the roots of any quadratic equation in terms of its coefficients a, b, and c. The expression b2−4ac is called the discriminant and vanishes when the two roots coincide. If a, b, and c are real and the discriminant is not less than zero, the roots are real.


[kwä ′drad·ik]
Any second-degree expression.


1. an equation containing one or more terms in which the variable is raised to the power of two, but no terms in which it is raised to a higher power
2. of or relating to the second power
References in periodicals archive ?
Each quadratic basis function is replaced by a spline which is not only a least-squares fit to positive data but also positive over the interpolation interval.
In (Asim, 2000), the quadratic basis functions Qi, were fully defined by three conditions, namely
In order to retain the condition of best least-squares approximation to other data points, we need to relax the stipulation that the basis function be a quadratic.
focusing on the study of discriminants in the case of quadratic equations).
Once invariance is recognized, it can be used as a tool in developing a formula that solves a quadratic equation.
More recently, Feurzeig, Katz, Lewis, and Steinbock (2000a, 2000b) proposed computer-based representations of properties of monic quadratic trinomials in the plane of their coefficients (parameters).
Universal Expressions: Looking for squares Early last century, Srinivasa Ramanujan found 53 universal quadratics of the form [ax.
Given Lagrange's result, number theorists asked whether there are other such expressions, called quadratic forms, that also repre sent all positive integers.
However, as already noted, the abridged models (without the quadratic term) in this case indicate an increasing trend in inequality over the entire sample space.
Methodologically, the superior fit of the models with country-specific dummies should make the fixed-effects format preferable to the conventional cross-section specification, and the inclusion of the quadratic term makes the models more informative.
Order continues to matter in basic factorisation when it comes to quadratics.
For example, students should be encouraged to make connections and broader multiple representations of quadratics to explicate equivalence of algebraic representations as part of building greater conceptual understanding--graphical representations here would be very useful (i.