Use Descartes' Rule of Signs to Determine the Possible Number $f ( x ) = 5 x ^ { 5 } + 10 x$

question 16

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive and nega- tive zeros of $f ( x ) = 5 x ^ { 5 } + 10 x$

• A) 1 positive real; 3 negative reals or 1 negative real
• B) 5 positive reals or 3 positive reals or 1 positive real; no negative reals
• C) no positive reals; no negative reals
• D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
• E) 1 positive real; 5 negative reals or 3 negative reals or 1 negative real

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