Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } + 11 x ^ { 3 } + 30 x ^ { 2 }$

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } + 11 x ^ { 3 } + 30 x ^ { 2 }$ and determine the mutiplicity of each.

A) $x = 0$ , multiplicity 2; $x = - 6$ , multiplicity 1; $x = - 5$ , multiplicity 1
B) $x = 6$ , multiplicity 2; $x = 5$ , multiplicity 2
C) $x = 0$ , multiplicity 2; $x = 6$ , multiplicity 1; $x = 5$ , multiplicity 1
D) $x = - 6$ , multiplicity 2; $x = - 5$ , multiplicity 2
E) $x = 0$ , multiplicity 1; $x = 6$ , multiplicity 1; $x = - 6$ , multiplicity 1; $x = 5$ , multiplicity 1