document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62519>Question 62519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help w/ the following: \r<BR>\n" );
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document.write( "Using Descartes Rule of Signs to determine how many positive and how many negative real zeros the polynomial functions may have. Do not attempt to find the zeros.<BR>\n" );
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document.write( "f(x)=x^6-4x^5-x^4-3x^3+3x^2+x+4\r<BR>\n" );
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document.write( "Thank You. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43363 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help w/ the following:<BR>\n" );
document.write( "Using Descartes Rule of Signs to determine how many positive and how many negative real zeros the polynomial functions may have. Do not attempt to find the zeros.\r<BR>\n" );
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document.write( "f(x)=x^6-4x^5-x^4-3x^3+3x^2+x+4<BR>\n" );
document.write( "Thank You. <BR>\n" );
document.write( "TO FIND NUMBER OF POSSIBLE POSITIVE ROOTS..<BR>\n" );
document.write( "1.WRITE F(X) IN DESCENDING ORDER..<BR>\n" );
document.write( "IT IS ALREADY WRITTEN HERE.<BR>\n" );
document.write( "2.FIND NUMBER OF CHANGES IN SIGNS OF COEFFICIENTS OF TERMS OF F(X)..<BR>\n" );
document.write( " THERE ARE 2 CHANGES ...+1X^6 TO -4X^5...AND...-3X^3 TO +3X^2.<BR>\n" );
document.write( "HENCE THERE WILL BE A MAXIMUM OF 2 POSITIVE ROOTS.\r<BR>\n" );
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document.write( "NEXT TO FIND THE NUMBER OF POSSIBLE NEGATIVE ROOTS..<BR>\n" );
document.write( "1.WRITE F(-X) IN DESCENDING ORDER..<BR>\n" );
document.write( "IT IS ...<BR>\n" );
document.write( "F(-X)= X^6+4X^5-X^4+3X^3+3X^2-X+4<BR>\n" );
document.write( "2.FIND NUMBER OF CHANGES IN SIGNS OF COEFFICIENTS OF TERMS OF F(-X)..<BR>\n" );
document.write( " THERE ARE 3 CHANGES ...+4X^5 TO -X^4...AND...-X^4 TO +3X^3....AND<BR>\n" );
document.write( "+3X^2 TO -X<BR>\n" );
document.write( "HENCE THERE WILL BE A MAXIMUM OF 3 NEGATIVE ROOTS. </SPAN>\n" );
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