Completely Factor the Polynomial or State That the Polynomial Is $27 x ^ { 3 } + 1$

Multiple Choice

Completely factor the polynomial or state that the polynomial is prime.
- $27 x ^ { 3 } + 1$

A) $( 3 x + 1 ) \left( 9 x ^ { 2 } + 3 x + 1 \right)$
B) $( 3 x + 1 ) \left( 9 x ^ { 2 } - 3 x + 1 \right)$
C) $( 3 x + 1 ) \left( 9 x ^ { 2 } - 3 x - 1 \right)$
D) $( 3 x + 1 ) \left( 9 x ^ { 2 } + 1 \right)$