Factor the Trinomial Completely $a ^ { 3 } b ^ { 2 } + 5 a ^ { 2 } b - 24 a$

Multiple Choice

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
- $a ^ { 3 } b ^ { 2 } + 5 a ^ { 2 } b - 24 a$

A) $a ( a b + 8 ) ( a b - 3 )$
B) $a \left( a ^ { 2 } b ^ { 2 } + 5 a b - 24 \right)$
C) $a ( a b - 8 ) ( a b + 3 )$
D) $a ^ { 2 } ( b + 8 ) ( b - 3 )$