document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046216>Question 1046216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.  f(x)=-2x^4+2x^2+4; [-2,-1] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661705 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52800)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.  f(x)=-2x^4+2x^2+4; [-2,-1]<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Calculate the polynomial at the ends of the given intervals.<BR>\n" );
document.write( "In other words, calculate f(-2) and f(-1).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If these two values have different signs (one is positive while the other is negative) then the polynomial HAS a root in the interval.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );