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Use Descartes' Rule of Signs to Determine the Possible Number f(x)=7x8+3x6+2x4+5x2+2f ( x ) = 7 x ^ { 8 } + 3 x ^ { 6 } + 2 x ^ { 4 } + 5 x ^ { 2 } + 2

Question 23

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) =7x8+3x6+2x4+5x2+2f ( x ) = 7 x ^ { 8 } + 3 x ^ { 6 } + 2 x ^ { 4 } + 5 x ^ { 2 } + 2


A)
 Positive  Negative  Nonreal Complex 440\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 4 & 4 & 0\end{array}

B)
 Positive  Negative  Nonreal Complex 404\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 4 & 0 & 4\end{array}

C)
 Positive  Negative  Nonreal Complex 044\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 0 & 4 & 4\end{array}

D)
 Positive  Negative  Nonreal Complex 008\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 0 & 0 & 8\end{array}

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