Find All Rational, Irrational, and Complex Zeros (And State Their $p ( x ) = x ^ { 3 } - x ^ { 2 } - 2 x + 2$

Multiple Choice

Find all rational, irrational, and complex zeros (and state their multiplicities) . $p ( x ) = x ^ { 3 } - x ^ { 2 } - 2 x + 2$

A) $\{ - \sqrt { 2 } i , \sqrt { 2 } i , 2 \}$
B) $\{ - \sqrt { 2 } i , \sqrt { 2 } i , 1 \}$
C) $\{ - 2,2,1 \}$
D) $\{ - \sqrt { 2 } , \sqrt { 2 } , 1 \}$
E) $( - 1 , - 2 \}$