Question

Factor each expression completely. $$x^{2}+x-12$$

   Factor each expression completely.
$$x^{2}+x-12$$

College Algebra

College Algebra

R. David Gustafson,… 11th Edition

Chapter 4, Problem 105

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Solved by Expert Mitchell Cutler

07/07/2020

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Factor each expression completely. $$x^{2}+x-12$$

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Key Concepts

Quadratic Expression

A quadratic expression is a second-degree polynomial generally expressed in the form ax² + bx + c. Understanding its structure is fundamental in algebra as it sets the stage for various methods of solving quadratic equations and factoring polynomials.

Factoring Quadratics

Factoring a quadratic involves rewriting the quadratic expression as a product of two binomials. This process is essential for simplifying expressions, solving quadratic equations, and understanding the roots of the polynomial.

Product-Sum Method

The product-sum method is a technique used to factor quadratic expressions by finding two numbers that multiply to ac (the product of the coefficient of x² and the constant term) and add up to b (the coefficient of x). This method is a systematic approach for breaking down quadratic expressions into factors.

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