Find the Real Zeros of the Polynomial Function $f ( x ) = x ^ { 5 } - 16 x ^ { 4 } + 64 x ^ { 3 }$

question 28

Multiple Choice

Find the real zeros of the polynomial function $f ( x ) = x ^ { 5 } - 16 x ^ { 4 } + 64 x ^ { 3 }$ and determine the multiplicity of each.

• A) \(x = 0\) , multiplicity 2; \(x = 8\) , multiplicity 3
• B) \(x = 0\) , multiplicity 2; \(x = 8\) , multiplicity 1; \(x = - 8\) , multiplicity 2
• C) \(x = 0\) , multiplicity 3; \(x = 8\) , multiplicity 2
• D) \(x = 0\) , multiplicity 3; \(x = - 8\) , multiplicity 2
• E) \(x = 0\) , multiplicity 2; \(x = 8\) , multiplicity 2; \(x = - 8\) , multiplicity 1