Solve the given quadratic equations by factoring. x^2-8...

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Key Concepts

Quadratic Equations

A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form ax² + bx + c = 0, where a, b, and c are constants and a is non-zero. These equations often yield two solutions and can be solved using various methods such as factoring, completing the square, or applying the quadratic formula.

Factoring Method

Factoring is a technique used to solve quadratic equations by expressing the quadratic expression as a product of two binomials. This method simplifies the equation into simpler expressions that can be set equal to zero, making it easier to identify the roots of the equation when the factors are found.

Zero Product Property

The zero product property is a fundamental principle that states if the product of two numbers is zero, then at least one of the multiplicands must be zero. In the context of solving factored quadratic equations, once the equation is rewritten as a product of factors equal to zero, each factor is set to zero, resulting in simpler equations to solve for the original variable.

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