document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689441>Question 689441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the intermediate value theorem, show that the polynomial has a real zero between 1 and 2.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=x^3-x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425956 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=425956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the intermediate value theorem, show that the polynomial has a real zero between 1 and 2. <BR>\n" );
document.write( "f(x)=x^3-x-1<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "f(1) = 1-1-1 = -1<BR>\n" );
document.write( "f(2) = 8-2-1 = 5<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Since f is a continuous function and is below the x-axis<BR>\n" );
document.write( "when x = 1 but above the x-axis when x = 2, f must be zero<BR>\n" );
document.write( "for some value between x = 1 and x = 2.<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );