Factor the Polynomial by Substitution $$36 z ^ { 6 } + 87 z ^ { 4 } + 45 z ^ { 2 }$$

Multiple Choice

Factor the polynomial by substitution.
- $$36 z ^ { 6 } + 87 z ^ { 4 } + 45 z ^ { 2 }$$

A) $\left( 9 z ^ { 3 } + 15 \right) \left( 4 z ^ { 3 } + 3 \right)$
B) $3 z ^ { 2 } \left( 4 z ^ { 2 } - 3 \right) \left( 3 z ^ { 2 } - 5 \right)$
C) $3 \left( 3 z ^ { 4 } + 5 \right) \left( 4 z ^ { 2 } + 3 \right)$
D) $3 z ^ { 2 } \left( 3 z ^ { 2 } + 5 \right) \left( 4 z ^ { 2 } + 3 \right)$