Question

Factor each polynomial completely. $$ x^{2}-2 x-15 $$

   Factor each polynomial completely.
$$
x^{2}-2 x-15
$$

Trigonometry

David I. Schneider;… 12th Edition

Chapter 0, Problem 69

Instant Answer

Solved by Expert Nick Johnson

02/17/2023

Step 1

This trinomial has three terms: $x^{2}$, $-2x$, and $-15$. Show more…

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Factor each polynomial completely. $$ x^{2}-2 x-15 $$

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Key Concepts

Zero Product Property

This principle states that if the product of two factors is zero, then at least one of the factors must be zero. It is frequently employed after a quadratic expression has been factored into binomials, allowing the solution of the corresponding equation by setting each factor equal to zero.

Factoring Quadratic Polynomials

This concept involves rewriting a quadratic expression as a product of two binomial expressions. The process typically requires finding two numbers that both add to give the coefficient of the linear term and multiply to give the constant term. Recognizing when an expression is factorable and applying the appropriate method is central to simplifying quadratic expressions.

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