Factor the Polynomial Below by Grouping $z ^ { 4 } - 5 z - 9 z ^ { 3 } + 45$

Multiple Choice

Factor the polynomial below by grouping. $z ^ { 4 } - 5 z - 9 z ^ { 3 } + 45$

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