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

Multiple Choice

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

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