Factor Completely $$3 x ^ { 8 } - 15 x ^ { 7 } + 12 x ^ { 6 }$$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$3 x ^ { 8 } - 15 x ^ { 7 } + 12 x ^ { 6 }$$

A) $3 ( x + 4 ) \left( x ^ { 7 } + 1 \right)$
B) $3 x ^ { 6 } ( x - 4 ) ( x - 1 )$
C) $x ^ { 6 } ( 3 x - 4 ) ( x + 1 )$
D) $3 x ^ { 6 } ( x + 4 ) ( x - 1 )$