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 #388047 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=388047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. <BR>\n" );
document.write( "f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0]<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "f(-1) = 8*-1 - 10*1 + 3*-1 + 5<BR>\n" );
document.write( "f(-1) = -8 -10 -3 + 5 < 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "f(0) = 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since f(-1) is negative<BR>\n" );
document.write( "And f(0) is positive<BR>\n" );
document.write( "and <BR>\n" );
document.write( "Since f is continuous on [-1,5] there must be a zero on that interval.<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( " </SPAN>\n" );
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