Factor the Polynomial by Substitution $$48 z ^ { 6 } + 52 z ^ { 4 } + 12 z ^ { 2 }$$

Multiple Choice

Factor the polynomial by substitution.
- $$48 z ^ { 6 } + 52 z ^ { 4 } + 12 z ^ { 2 }$$

A) $\left( 12 z ^ { 3 } + 4 \right) \left( 4 z ^ { 3 } + 3 \right)$
B) $4 \left( 3 z ^ { 4 } + 1 \right) \left( 4 z ^ { 2 } + 3 \right)$
C) $4 z ^ { 2 } \left( 3 z ^ { 2 } + 1 \right) \left( 4 z ^ { 2 } + 3 \right)$
D) $4 z ^ { 2 } \left( 4 z ^ { 2 } - 3 \right) \left( 3 z ^ { 2 } - 1 \right)$