Find All Rational, Irrational, and Complex Zeros $P ( x ) = x ^ { 4 } + x ^ { 3 } - 5 x ^ { 2 } - 3 x + 6$

Multiple Choice

Find all rational, irrational, and complex zeros. $P ( x ) = x ^ { 4 } + x ^ { 3 } - 5 x ^ { 2 } - 3 x + 6$

A) $\{ - 3,3,1 , - 2 \}$
B) $\{ - 3,1 , - 2 \}$
C) $\{ - \sqrt { 3 } , \sqrt { 3 } , 1 , - \sqrt { 2 } \}$
D) $\{ - \sqrt { 3 } , \sqrt { 3 } , 1 , - 2 \}$
E) $\{ \sqrt { 3 } , - 6 \}$