Find a Polynomial of Least Degree with Only Real Coefficients $- \sqrt { 3 } , \sqrt { 3 }$

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 3 } , \sqrt { 3 }$ , and $- 4 \mathrm { i }$

A) $f ( x ) = x ^ { 4 } + 13 x ^ { 2 } - 48$
B) $f ( x ) = x ^ { 4 } + 26 x ^ { 2 } + 48$
C) $f ( x ) = x ^ { 4 } - 26 x ^ { 2 } + 48$
D) $f ( x ) = x ^ { 4 } - 13 x ^ { 2 } - 48$