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Example:Find Zeros of Polynomial

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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.



A quadratic function, in mathematics, is a polynomial function of the form

The expression ax2 + 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.



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





The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.