Question

Solve by factoring. $$ x^{2}+2 x-15=0 $$

   Solve by factoring.
$$
x^{2}+2 x-15=0
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 10, Problem 78

Instant Answer

Solved by Expert Philippe Martin

04/09/2020

Step 1

We need to factorize this equation. The general form of a quadratic equation is $ax^{2}+bx+c=0$. Here, $a=1$, $b=2$, and $c=-15$. Show more…

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Solve by factoring. $$ x^{2}+2 x-15=0 $$

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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. This fundamental concept in algebra introduces a variety of methods for finding solutions, including factoring, completing the square, and using the quadratic formula.

Factoring

Factoring is the process of rewriting an expression as a product of simpler expressions. For quadratic equations, factoring involves expressing the quadratic as a product of two binomials, which simplifies the process of solving the equation by breaking it down into simpler, solvable parts.

Zero Product Property

The zero product property is an essential principle in algebra stating that if a product of two or more factors is zero, then at least one of the factors must be zero. This property is used after factoring a quadratic equation to set each factor equal to zero and solve for the variable.

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