Provide an Appropriate Response $\mathrm { f }$ Is a Polynomial Function of Degree 4

Multiple Choice

Provide an appropriate response.
-Suppose that $\mathrm { f }$ is a polynomial function of degree 4 . If $- 5$ and 11 are zeros of $f$ and the graph of $f$ is symmetric with respect to the $y$ -axis, write $f ( x )$ in factored form.

A) $f ( x ) = ( x + 5 ) ^ { 2 } ( x - 11 ) ^ { 2 }$
B) $f ( x ) = ( x + 5 ) ( x - 11 ) ( x - 5 ) ( x + 11 )$
C) $f ( x ) = ( x + 5 ) ( x - 11 )$
D) $f ( x ) = ( x - 5 ) ^ { 2 } ( x + 11 ) ^ { 2 }$