Solve Quadratics by Factoring Practice

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants.

Factoring a quadratic equation means expressing it as a product of two binomials, such as (px + q)(rx + s) = 0.

The zeros of a quadratic equation are the values of x that make the equation equal to zero.

To find the zeros, set the factored form of the equation to zero and solve for x.

The standard form of a quadratic equation is ax² + bx + c = 0.

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots.

A positive discriminant indicates that the quadratic equation has two distinct real roots.

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

A negative discriminant indicates that the quadratic equation has no real roots, only complex roots.