Explanation:
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} − 4x + 7 is a quadratic polynomial, while x^{3} − 4x + 7 is not.
http://en.wikipedia.org/wiki/Quadratic_polynomial
A quadratic
function, in mathematics, is
a polynomial function of the form
The expression ax^{2} + bx + c in the definition of a quadratic function is a polynomial of degree 2 or second order, or a 2nd degree polynomial, because
the highest exponent of x is 2.
If the quadratic function is set equal to zero, then the result is
a quadratic equation. The
solutions to the equation are called the roots of the equation.
Roots
The roots (zeros) of the quadratic function
are the values of x for which f(x) = 0. (Our solved example in
mathguru.com uses this concept).
When the coefficients a, b, and c, are real or complex, the roots are
where the discriminant is defined as
http://en.wikipedia.org/wiki/Quadratic_function
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