Write the Function as a Product of Linear and Irreducible $$f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 7 x + 12$$

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 7 x + 12$$

A) $( x + 3 ) \left( 2 x ^ { 2 } + x + - 4 \right)$
B) $( x + 3 ) \left( 2 x ^ { 2 } + x + 4 \right)$
C) $( x - 3 ) \left( 2 x ^ { 2 } + x + 4 \right)$
D) $( x - 3 ) \left( 2 x ^ { 2 } + x + - 4 \right)$