document.write( "Question 63890: Need help....please.\r
\n" ); document.write( "\n" ); document.write( "Use Descartes Rule to determine how many positive and negative zeros.
\n" ); document.write( "Do not need to find the zeros.\r
\n" ); document.write( "\n" ); document.write( "f(x)= -6x^5+x^4+5x^3+x+1
\n" ); document.write( "

Algebra.Com's Answer #44543 by venugopalramana(3286)\"\" \"About 
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Need help....please.
\n" ); document.write( "Use Descartes Rule to determine how many positive and negative zeros.
\n" ); document.write( "Do not need to find the zeros.
\n" ); document.write( "f(x)= -6x^5+x^4+5x^3+x+1\r
\n" ); document.write( "\n" ); document.write( "I.POSITIVE ROOTS\r
\n" ); document.write( "\n" ); document.write( "TAKE F(X)
\n" ); document.write( "ARRANGE IT IN DESCENDING ORDER...IT IS ALREADY SO.
\n" ); document.write( "NOTE HOW MANY CHANGES ARE THERE IN SIGNS OF COSECUTIVE TERMS
\n" ); document.write( "THERE IS ONLY 1 CHANGE FROM -6(COEFFICIENT OF X^5) TO
\n" ); document.write( "+5(COEFFICIENT OF X^4).
\n" ); document.write( "IF THE NUMBER OF CHANGES IS N THEN THE MAXIMUM NUMBER
\n" ); document.write( " OF POSITIVE ZEROS ARE N.THE ACTUAL NUMBER COULD BE
\n" ); document.write( "= N OR N-2 OR N-4 ETC>=0
\n" ); document.write( "HERE N=1...HENCE THERE IS ONE POSITIVE ZERO.\r
\n" ); document.write( "\n" ); document.write( "II.NEGATIVE ROOTS\r
\n" ); document.write( "\n" ); document.write( "TAKE F(-X)....= 6X^5+X^4-5X^3-X+1
\n" ); document.write( "ARRANGE IT IN DESCENDING ORDER...IT IS ALREADY SO.
\n" ); document.write( "NOTE HOW MANY CHANGES ARE THERE IN SIGNS OF COSECUTIVE TERMS
\n" ); document.write( "THERE ARE 2 CHANGES FROM 1(COEFFICIENT OF X^4) TO
\n" ); document.write( "-5(COEFFICIENT OF X^3)AND FROM -1(COEFFICIENT OF X)TO
\n" ); document.write( "+1 (CONSTANT TERM).
\n" ); document.write( "IF THE NUMBER OF CHANGES IS N THEN THE MAXIMUM NUMBER OF
\n" ); document.write( "NEGATIVE ZEROS ARE N.THE ACTUAL NUMBER COULD BE
\n" ); document.write( "= N OR N-2 OR N-4 ETC>=0
\n" ); document.write( "HERE N=2...HENCE THERE COULD BE 2 OR NIL NUMBER OF
\n" ); document.write( "NEGATIVE ZEROS.
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