Factor Completely $x ^ { 4 } - 24 x ^ { 2 } - 25$

Multiple Choice

Factor completely: $x ^ { 4 } - 24 x ^ { 2 } - 25$

A) $\left( x ^ { 2 } + 25 \right) ( x - 1 ) ( x + 1 )$
B) $( x - 5 ) ( x + 5 ) \left( x ^ { 2 } + 1 \right)$
C) $( x - 5 ) ( x + 5 ) ( x - 1 ) ( x + 1 )$
D) $( x - 5 ) ( x + 5 ) ( x + 1 ) ^ { 2 }$