Divide F(x) by D(x), and Write a Summary Statement in the Form

Multiple Choice

Divide f(x) by d(x) , and write a summary statement in the form indicated.
- $f ( x ) = x ^ { 4 } + 4 x ^ { 3 } + 7 x ^ { 2 } + 32 x + 24 ; d ( x ) = x ^ { 2 } + 4 x + 3 \quad$ (Write answer in polynomial form)

A) $f ( x ) = \left( x ^ { 2 } + 4 x + 3 \right) \left( x ^ { 2 } + 4 \right) - 16 x + 12$
B) $f ( x ) = \left( x ^ { 2 } + 4 x + 3 \right) \left( x ^ { 2 } + 3 x + 4 \right) - 16 x + 12$
C) $f ( x ) = \left( x ^ { 2 } + 4 x + 3 \right) \left( x ^ { 2 } + 3 x + 4 \right) + 16 x + 12$
D) $f ( x ) = \left( x ^ { 2 } + 4 x + 3 \right) \left( x ^ { 2 } + 4 \right) + 16 x + 12$