Question

Factor the expression completely. $$ x^{2}-2 x-8 $$

   Factor the expression completely.
$$
x^{2}-2 x-8
$$

Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

James Stewart,… 7th Edition

Chapter 1, Problem 99

Instant Answer

Solved by Expert Griffin Goodwin

06/16/2020

Step 1

It will be in the form of $(x+a)(x+b)$, where $a$ and $b$ are constants. Show more…

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Factor the expression completely. $$ x^{2}-2 x-8 $$

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Key Concepts

Quadratic Expressions

A quadratic expression is a second-degree polynomial typically written in the form ax² + bx + c, where a, b, and c are constants and a is non-zero. Recognizing this structure is essential, as it establishes the foundation for applying various solving techniques such as factoring, completing the square, or using the quadratic formula.

Factoring Quadratic Polynomials

Factoring a quadratic polynomial involves rewriting the expression as a product of two binomials. This process generally requires finding two numbers that multiply to the constant term (c) and simultaneously add to the coefficient of the linear term (b). This method simplifies the expression and is a critical skill for solving quadratic equations and understanding the roots or solutions of the polynomial.

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