document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3694>Question 3694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many positive real zeros does the funtion f(x) = x4 + x3 - 7x - 1 have?<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 #1637 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C5%2C-10%2C10%2Cx%5E4+%2B+x%5E3+-+7x+-+1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C5%2C-10%2C10%2Cx%5E4+%2B+x%5E3+-+7x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Graphing this, gives a root just less than zero (so ignore that), and one between 1 and 2...so the answer looks to be 1 positive root\r<BR>\n" );
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document.write( "You can find the sign of f(0), then a few values of x, to semi-proof this finding...as x increases, so the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > term will dominate hence the curve will not turn back and cross the x-axis again.\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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