Quadratic Form

Quadratic Form:In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example,4x^2 + 2xy - 3y^2\,\! is a quadratic form in the variables x and y.Quadratic forms occupy central place in various branches of mathematics: number theory, linear algebra, group theory (orthogonal group), differential geometry.In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is

ax^2+bx+c=0,\,

where x represents a variable, and a, b, and c, constants, with a ≠ 0.Quadratic functions, in mathematics, is a polynomial function of the form

f(x)=ax^2+bx+c,\quad a \ne 0.

The graph of a quadratic function is a parabola whose major axis is parallel to the y-axis.