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Use Descartes' Rule of Signs to Determine the Possible Number f(x)=3x67x47x3+4x25xf ( x ) = 3 x ^ { 6 } - 7 x ^ { 4 } - 7 x ^ { 3 } + 4 x ^ { 2 } - 5 x

Question 238

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) =3x67x47x3+4x25xf ( x ) = 3 x ^ { 6 } - 7 x ^ { 4 } - 7 x ^ { 3 } + 4 x ^ { 2 } - 5 x


A)

 Positive  Negative  Nonreal Complex 231213033015\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 2 & 3 & 1 \\2 & 1 & 3 \\0 & 3 & 3 \\0 & 1 & 5\end{array}

B)
 Positive  Negative  Nonreal Complex 321303123105\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 3 & 2 & 1 \\3 & 0 & 3 \\1 & 2 & 3 \\1 & 0 & 5\end{array}

C)
 Positive  Negative  Nonreal Complex 204006\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 2 & 0 & 4 \\0 & 0 & 6\end{array}

D)
 Positive  Negative  Nonreal Complex 321123\begin{array}{c|c|c}\text { Positive } & \text { Negative } & \text { Nonreal Complex } \\\hline 3 & 2 & 1 \\1 & 2 & 3\end{array}

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