document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193433>Question 193433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND ALL ROOTS\r<BR>\n" );
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document.write( "List all possible rational zeroes of the function--- 5x^7-7x^3+12x-4\r<BR>\n" );
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document.write( "I don't know where to start.<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 #145216 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FIND ALL ROOTS <BR>\n" );
document.write( "List all possible rational zeroes of the function--- 5x^7-7x^3+12x-4 <BR>\n" );
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document.write( "If p/q is a rational root of the polynomial, <BR>\n" );
document.write( "p is a factor of -4 such as +/-1, +/-2, +/-4 <BR>\n" );
document.write( "and q is a factor of 5 such as +/-1, +/-5<BR>\n" );
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document.write( "So check out +/-1. +/-2, +/-4, +/-1/5, +/-2/5, +/-4/5<BR>\n" );
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document.write( "If none of these is a root, there are no rational roots.<BR>\n" );
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document.write( "I do not find any rational roots.<BR>\n" );
document.write( "I do find a root around x = 0.36028589....<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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