document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616968>Question 616968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help.<BR>\n" );
document.write( "Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.\r<BR>\n" );
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document.write( "f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388050 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \text{sgn}\left(f(a)\right)\ \neq\ \text{sgn}\left(f(b)\right)\">\r<BR>\n" );
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document.write( "where, presuming real function values:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" class=\"tex\" alt=\" \sgn(x) = \begin{cases}<BR>\n" );
document.write( "-1 &amp; \text{if } x &lt; 0, \\<BR>\n" );
document.write( "0 &amp; \text{if } x = 0, \\<BR>\n" );
document.write( "1 &amp; \text{if } x &gt; 0. \end{cases}\" src=\"//upload.wikimedia.org/wikipedia/en/math/2/6/c/26ca3289b0a374f571997861520afd19.png\" />\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)\"> has a real zero on [<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a,b\">]\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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