Find All Zeros of the Function $f ( x ) = x ^ { 2 } ( x - 2 ) \left( x ^ { 3 } - 216 \right)$

question 27

Multiple Choice

Find all zeros of the function $f ( x ) = x ^ { 2 } ( x - 2 ) \left( x ^ { 3 } - 216 \right)$ .

• A) \(x = 2,216\)
• B) \(x = 0 , - 2 , - 6\)
• C) \(\quad x = 0,2,6 , - 3 - 3 \sqrt { 3 } i , - 3 + 3 \sqrt { 3 } i\)
• D) \(\quad x = - 2 , - 216\)
• E) \(\quad x = 0,2,6\)

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