document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35214>Question 35214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> topic: Descarte's rule of signs<BR>\n" );
document.write( "use Descartes rule of signs to determine the possible numbers of positive and negative zeros of the following functions:<BR>\n" );
document.write( "1) f(x)=5x^3+3x^2-6x+9<BR>\n" );
document.write( "2) f(x)=-2x^5+4x^3-2x^2-5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21382 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=21382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use Descartes rule of signs to determine the possible numbers of positive and negative zeros of the following functions:<BR>\n" );
document.write( "1) f(x)=5x^3+3x^2-6x+9..TO FIND MAXIMUM NUMBER OF POSITIVE ROOTS ,FIND THE NUMBER OF CHANGES IN COEFFICIENTS OF TERMS OF F(X)WRITTEN IN DECREASING ORDER.<BR>\n" );
document.write( "THERE ARE 2 CHANGES IN SIGN OF COEFFICIENTS....(3X^2)3 TO -6(-6X) AND -6(-6X) TO 9(9)...HENCE MAXIMUM NUMBER OF POSITIVE ROOTS ARE 2\r<BR>\n" );
document.write( "\n" );
document.write( "TO FIND MAXIMUM NUMBER OF NEGATIVE ROOTS ,FIND THE NUMBER OF CHANGES IN COEFFICIENTS OF TERMS OF F(-X)WRITTEN IN DECREASING ORDER.<BR>\n" );
document.write( "F(-X)=-5X^3+3X^2+6X+9...<BR>\n" );
document.write( "HERE WE HAVE ONLY ONE CHANGE IN SIGN OF COEFFICIENTS...FROM -5 (-5X^3)TO 3(3X^2)...HENCE MAXIMUM NUMBER OF NEGATIVE ROOTS ARE 1.\r<BR>\n" );
document.write( "\n" );
document.write( "2) f(x)=-2x^5+4x^3-2x^2-5..I THINK YOU CAN DO THIS NOW ON THE ABOVE BASIS </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );