Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } + 11 x ^ { 3 } + 30 x ^ { 2 }$

question 20

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } + 11 x ^ { 3 } + 30 x ^ { 2 }$ and determine the mutiplicity of each.

• A) \(x = 0\) , multiplicity 2; \(x = - 6\) , multiplicity 1; \(x = - 5\) , multiplicity 1
• B) \(x = 6\) , multiplicity 2; \(x = 5\) , multiplicity 2
• C) \(x = 0\) , multiplicity 2; \(x = 6\) , multiplicity 1; \(x = 5\) , multiplicity 1
• D) \(x = - 6\) , multiplicity 2; \(x = - 5\) , multiplicity 2
• E) \(x = 0\) , multiplicity 1; \(x = 6\) , multiplicity 1; \(x = - 6\) , multiplicity 1; \(x = 5\) , multiplicity 1

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