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

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 3 } , \sqrt { 3 }$ , and 8 (multiplicity 2 )

A) $f ( x ) = x ^ { 4 } - 16 x ^ { 3 } + 61 x ^ { 2 } + 48 x - 192$
B) $f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - 3 x - 24$
C) $f ( x ) = x ^ { 3 } - 8 x ^ { 2 } - 3 x + 24$
D) $f ( x ) = x ^ { 4 } + 16 x ^ { 3 } - 61 x ^ { 2 } - 48 x + 192$

Correct Answer:

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