document.write( "Question 63890: Need help....please.\r
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document.write( "Use Descartes Rule to determine how many positive and negative zeros.
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document.write( "Do not need to find the zeros.\r
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document.write( "f(x)= -6x^5+x^4+5x^3+x+1 \n" );
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Algebra.Com's Answer #44543 by venugopalramana(3286) You can put this solution on YOUR website! 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. \n" ); document.write( " \n" ); document.write( " |