Determine the Real Zeros of the Polynomial and Their Multiplicities $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$

Multiple Choice

Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the
x-axis at each zero.

- $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$

A) 4, multiplicity 2, touches x-axis
B) -5, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis
C) -5, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis
D) 4, multiplicity 2, crosses x-axis