Write the Polynomial in Standard Form and Identify the Zeros $$f ( x ) = ( x + 2 ) ( x + 2 ) ( x + 3 i ) ( x - 3 i )$$

Multiple Choice

Write the polynomial in standard form and identify the zeros of the function.
- $$f ( x ) = ( x + 2 ) ( x + 2 ) ( x + 3 i ) ( x - 3 i )$$

A) $f ( x ) = x ^ { 4 } + 4 x ^ { 3 } + 13 x ^ { 2 } + 36 x + 36$ ; zeros 2 (mult. 2) , $\pm 3 i$
B) $f ( x ) = x ^ { 4 } + 4 x ^ { 3 } + 13 x ^ { 2 } + 36 x + 36$ ; zeros $- 2$ (mult. 2) , $\pm 3 i$
C) $f ( x ) = x ^ { 4 } + 4 x ^ { 3 } - 5 x ^ { 2 } - 36 x - 36$ ; zeros $- 2$ (mult. 2) , $\pm 3$
D) $f ( x ) = x ^ { 4 } + 13 x ^ { 2 } + 36$ ; zeros 2 (mult. 2) , $\pm 3$