Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } - 41 x ^ { 2 } + 400$

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } - 41 x ^ { 2 } + 400$ and determine the mutiplicity of each.

A) $x = 25$ , multiplicity 2; $x = 16$ , multiplicity 2
B) $x = 5$ , multiplicity 2; $x = - 4$ , multiplicity 2
C) $x = 25$ , multiplicity 2; $x = - 4$ , multiplicity 1
D) $x = - 5$ , multiplicity 2; $x = 4$ , multiplicity 2
E) $x = 5$ , multiplicity 1; $x = - 5$ , multiplicity 1; $x = - 4$ , multiplicity 1; $x = 4$ , multiplicity 1