Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } - 4 x - 20$

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } - 4 x - 20$ and determine the multiplicity of each.

A) $x = - 5 , \text { multiplicity } 2 ; x = - 2 \text {, multiplicity } 1$
B) $x = - 5 , \text { multiplicity } 3$
C) $x = 2 \text {, multiplicity } 1 ; x = - 2 \text {, multiplicity } 1 ; x = - 5 \text {, multiplicity } 1$
D) $x = - 2 \text {, multiplicity } 1 ; x = 5 \text {, multiplicity } 1 ; x = - 5 \text {, multiplicity } 1$
E) $x = 2 , \text { multiplicity } 2 ; x = - 5 , \text { multiplicity } 1$