Find the Zeros of the Function and State the Multiplicities $$f ( x ) = 4 x ( 9 x + 8 ) ( 2 x + 5 ) ( x + \sqrt { 6 } ) ( x - \sqrt { 6 } )$$

Multiple Choice

Find the zeros of the function and state the multiplicities.
- $$f ( x ) = 4 x ( 9 x + 8 ) ( 2 x + 5 ) ( x + \sqrt { 6 } ) ( x - \sqrt { 6 } )$$

A) $0 , \frac { 8 } { 9 } , \frac { 5 } { 2 } , \pm 6$ ; each of multiplicity 1
B) $0 , - \frac { 8 } { 9 } , - \frac { 5 } { 2 } ;$ each of multiplicity 1 ; and $\sqrt { 6 }$ of multiplicity 2
C) $0 , - \frac { 8 } { 9 } , - \frac { 5 } { 2 } , \pm \sqrt { 6 }$ ; each of multiplicity 1
D) $0 , \frac { 8 } { 9 } , \frac { 5 } { 2 }$ ; each of multiplicity 1 ; and 6 of multiplicity 2