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

question 111

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