Write the Function as a Product of Linear and Irreducible $$f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7$$

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7$$

A) $( x + 7 ) \left( 3 x ^ { 2 } + x + 1 \right)$
B) $( x - 7 ) \left( 2 x ^ { 2 } + x + 1 \right)$
C) $( x - 7 ) \left( 3 x ^ { 2 } + 2 x - 1 \right)$
D) $( x - 7 ) \left( 3 x ^ { 2 } + x + 1 \right)$