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

question 57

Multiple Choice

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

• 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) \(\{ \sqrt { 3 } , - 6 \}\)

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