Use Descartes' Rule of Signs to Determine the Possible Number $f ( x ) = - 4 x ^ { 5 } - 8 x ^ { 4 } - 4 x ^ { 3 } + 3 x ^ { 2 } + x + 16$

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros for the polynomial
function.
- $f ( x ) = - 4 x ^ { 5 } - 8 x ^ { 4 } - 4 x ^ { 3 } + 3 x ^ { 2 } + x + 16$

A) 1 positive zero, 3 or 1 negative zeros
B) 1 positive zero, 4 or 2 negative zeros
C) 1 positive zero, 4 or 2 or 0 negative zeros
D) 1 positive zero, 2 or 0 negative zeros