For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x + 6 ) ^ { 2 }$$

question 201

Multiple Choice

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at
each x -intercept.
- $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x + 6 ) ^ { 2 }$$

• A) \(- 6\), multiplicity 2 , touches \(x\)-axis
• B) \(- 5\), multiplicity 1 , touches \(x\)-axis; \(- 6\), multiplicity 2 , crosses \(x\)-axis
• C) \(- 6\), multiplicity 2 , crosses \(x\)-axis
• D) \(- 5\), multiplicity 1 , crosses \(x\)-axis; \(- 6\), multiplicity 2 , touches \(x\)-axis

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