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Find All Zeros of the Function f(x)=x2(x−2)(x3−216)f ( x ) = x ^ { 2 } ( x - 2 ) \left( x ^ { 3 } - 216 \right)

Question 27

Multiple Choice

Find all zeros of the function f(x) =x2(x−2) (x3−216) f ( x ) = x ^ { 2 } ( x - 2 ) \left( x ^ { 3 } - 216 \right) .


A) x=2,216x = 2,216
B) x=0,−2,−6x = 0 , - 2 , - 6
C) x=0,2,6,−3−33i,−3+33i\quad x = 0,2,6 , - 3 - 3 \sqrt { 3 } i , - 3 + 3 \sqrt { 3 } i
D) x=−2,−216\quad x = - 2 , - 216
E) x=0,2,6\quad x = 0,2,6

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