Factor the Trinomial Completely $3 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }$

Multiple Choice

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
- $3 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }$

A) prime
B) $3 x ( x - 3 y ) ( x + 5 y )$
C) $3 x ( x + 3 y ) ( x - 5 y )$
D) $( x - 3 y ) \left( 3 x ^ { 2 } + 15 x y \right)$