Find the Zeros of the Polynomial Function and State the Multiplicity

question 357

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
$f ( x ) = \left( x ^ { 2 } + x - 12 \right) ^ { 6 } ( x - 2 + \sqrt { 7 } ) ^ { 2 }$

• A) \(- 4,3 \text { (multiplicity 6), } 2 - \sqrt { 7 } \text { (multiplicity } 2 \text { ) }\)
• B) \(- 4,3 \text { (multiplicity 6), } 2 + \sqrt { 7 } \text { (multiplicity 2) }\)
• C) \(- 4 , - 3 \text { (multiplicity } 6 ) , - 2 - \sqrt { 7 } \text { (multiplicity } 2 \text { ) }\)
• D) \(4 , - 3 \text { (multiplicity } 6 \text { ), } 2 - \sqrt { 7 } \text { (multiplicity } 2 \text { ) }\)

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