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Example:Find Zeros of Polynomial

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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, 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.

## 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