Use Descartes' Rule of Signs to Determine the Possible Number $$f ( x ) = 3 x ^ { 5 } - 7 x ^ { 4 } + 3 x ^ { 3 } - 7$$

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative
real zeros for the function.
- $$f ( x ) = 3 x ^ { 5 } - 7 x ^ { 4 } + 3 x ^ { 3 } - 7$$

A)
$\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 4 & 0 & 1 \\2 & 0 & 3 \\0 & 0 & 5\end{array}$
B)
$\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 3 & 1 & 1 \\1 & 3 & 1 \\1 & 1 & 3\end{array}$
C)
$\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 1 & 3 & 1 \\1 & 1 & 3 \\\end{array}$
D)
$\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 3 & 0 & 2 \\1 & 0 & 4 \\\end{array}$