Use Synthetic Division to Show That the Number C=-2 $f(x)=x^{4}-3 x^{3}-4 x^{2}+8 x-2 .$

Essay

Use synthetic division to show that the number c=-2 is a lower bound for the zeros of $f(x)=x^{4}-3 x^{3}-4 x^{2}+8 x-2 .$
Be sure to reference any properties, theorems or tests used.