Chapter 2 - Section 2.4 - Dividing Polynomials; Remainder and Factor Theorems - Exercise Set - Page 365: 64

$x=-6,-2,1$; see explanations.

Step 1. Use the Factor Theorem. Since $-2$ is a zero of the function, perform a synthetic division as shown in the figure. We get $f(x)=(x+2)(x^2+5x-6)=(x+2)(x+6)(x-1)$ Step 2. The equation $f(x)=0$ can then be factored and solved to get $x=-6,-2,1$