Find All the Zeros of the Polynomial Function $P ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 34 x + 40$

Multiple Choice

Find all the zeros of the polynomial function $P ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 34 x + 40$ and write the polynomial as a product of its linear factors.

A) $4$ , $3 + i$ , $3 + i$ ; $P ( x ) = ( x + 4 ) ( x + 3 + i ) ( x + 3 + i )$
B) $- 4$ , $- 3 + i$ , $- 3 - i$ ; $P ( x ) = ( x - 4 ) ( x - 3 + i ) ( x - 3 - i )$
C) $4$ , $3 - i$ , $3 + i$ ; $P ( x ) = ( x + 4 ) ( x - 3 + i ) ( x - 3 - i )$
D) $- 4$ , $- 3 - i$ , $- 3 + i$ ; $P ( x ) = ( x + 4 ) ( x + 3 + i ) ( x + 3 - i )$
E) $- 4$ , $- 3 - i$ , $- 3 - i$ ; $P ( x ) = ( x - 4 ) ( x - 3 - i ) ( x - 3 - i )$