Find All the Rational Zeros of the Function $f ( x ) = - 3 x ^ { 4 } + 4 x ^ { 3 } + 52 x ^ { 2 } - 64 x - 64$

question 4

Multiple Choice

Find all the rational zeros of the function $f ( x ) = - 3 x ^ { 4 } + 4 x ^ { 3 } + 52 x ^ { 2 } - 64 x - 64$ .

• A) \(x = - 2 , - 4,4 , \frac { 3 } { 2 }\)
• B) \(x = - 3,8 , - 4\)
• C) \(x = 2 , - 4,4 , - \frac { 2 } { 3 }\)
• D) \(x = \frac { 1 } { 2 } , \frac { 4 } { 3 } , - \frac { 2 } { 3 } , 4\)
• E) \(x = - 3,8 , \frac { 4 } { 3 } , - \frac { 2 } { 3 }\)

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