Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 36 x - 108$

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 36 x - 108$ and determine the multiplicity of each.

A) $x = 6 , \text { multiplicity } 2 ; x = - 3 \text {, multiplicity } 1$
B) $x = 6 \text {, multiplicity } 1 ; x = - 6 \text {, multiplicity } 1 ; x = - 3 \text {, multiplicity } 1$
C) $x = - 3 \text {, multiplicity } 2 ; x = - 6 \text {, multiplicity } 1$
D) $x = - 6 \text {, multiplicity } 1 ; x = 3 \text {, multiplicity } 1 ; x = - 3 \text {, multiplicity } 1$
E) $x = - 3 \text {, multiplicity } 3$