Write a Polynomial Function of Minimum Degree with Real Coefficients $4 , - 14$

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $4 , - 14$ , and $5 + 9 \mathrm { i }$

A) $f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 36 x ^ { 2 } + 810 x - 5936$
B) $f ( x ) = x ^ { 4 } - 50 x ^ { 2 } + 1620 x - 5936$
C) $f ( x ) = x ^ { 4 } - 9 x ^ { 3 } + 36 x ^ { 2 } - 810 x + 5936$
D) $f ( x ) = x ^ { 4 } - 405 x ^ { 2 } + 1620 x - 5936$