For the Polynomial $f ( x ) = x ^ { 3 } ( 3 - x ) ^ { 2 } \left( 1 + x ^ { 2 } \right)$

Multiple Choice

For the polynomial $f ( x ) = x ^ { 3 } ( 3 - x ) ^ { 2 } \left( 1 + x ^ { 2 } \right)$ , determine the leading coefficient and the degree.

A) $x ^ { 7 } , 3$
B) $x ^ { 7 } , 1$
C) $- x ^ { 7 } , 3$
D) $- x ^ { 7 } , 1$