Algebra Practice Test 2025 - Free Algebra Practice Questions and Study Guide

To find the roots of the equation x² + 5x + 6 = 0, we can utilize factoring. The goal is to express the quadratic equation in a form that allows us to identify its roots.

The equation can be factored as follows:

x² + 5x + 6 = (x + 2)(x + 3) = 0

By setting each factor equal to zero, we can solve for the roots:

1. x + 2 = 0 → x = -2

2. x + 3 = 0 → x = -3

Thus, the roots of the equation are x = -2 and x = -3.

Choosing the factors correctly allowed for the direct identification of the roots from the factored form. This method is effective for quadratics where the coefficients of x² is 1 and the constant can be expressed as a product of two numbers that also sum to the coefficient of the linear term, which in this case is 5.

The other options presented do not yield correct answers based on the factorization method or through solving the equation using the quadratic formula. These alternatives can be easily verified by substitution back into the original equation. Upon