Question

Solve each equation by factoring. $x^2+9 x+14=0$

   Solve each equation by factoring.
$x^2+9 x+14=0$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Stefan Baratto,… 4th Edition

Chapter 8, Problem 1

Instant Answer

Solved by Expert Cory Kuzinski

04/20/2020

Step 1

Step 1: Identify the quadratic equation to be solved: \[ x^2 + 9x + 14 = 0 \] Show more…

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Solve each equation by factoring. $x^2+9 x+14=0$

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Key Concepts

Quadratic Equation

A quadratic equation is a second-degree polynomial equation typically expressed in the form ax² + bx + c = 0. These equations have two solutions, which may be real or complex, and they are a fundamental concept in algebra.

Factoring

Factoring is the process of rewriting a polynomial as a product of simpler expressions. When a quadratic equation can be factored into two binomials, each binomial represents a factor of the original expression, which can then be set equal to zero to find the solutions.

Zero Product Property

The zero product property asserts that if the product of two factors equals zero, at least one of the factors must be zero. This property is crucial in solving factored equations, as it allows us to set each factor equal to zero to determine the roots of the equation.

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