Solve the given quadratic equations by factoring. 15 L=20...

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Key Concepts

Factoring

Factoring is the process of rewriting a polynomial as a product of simpler expressions (factors). In the context of quadratic equations, factoring can simplify the problem by breaking the equation into smaller, more manageable pieces that can be set to zero to find the solutions.

Quadratic Equations

Quadratic equations are polynomial equations of degree two, typically written in the form ax² + bx + c = 0. They have two solutions (which may be real or complex) and are fundamental in algebra, often representing parabolic graphs.

Zero Product Property

The zero product property states that if the product of two or more factors is zero, then at least one of the factors must be zero. This principle is essential when solving factored quadratic equations, as it allows each factor to be set equal to zero to solve for the unknown variable.

Common Factor Extraction

Common factor extraction involves taking out a common term from all terms in an expression. This technique simplifies the equation further and is a key step in factoring, especially when the terms of the quadratic have a common variable or numerical factor.

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