Write a Polynomial Function of Minimum Degree with Real Coefficients $5 i$

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $5 i$ and $\sqrt { 2 }$

A) $f ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50$
B) $f ( x ) = x ^ { 4 } + 23 x ^ { 2 } - 50$
C) $f ( x ) = x ^ { 4 } - 46 x ^ { 2 } + 50$
D) $f ( x ) = x ^ { 4 } + 46 x ^ { 2 } + 50$