document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=603619>Question 603619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to prove there is at least one real zero of the equation<BR>\n" );
document.write( "P(x)= -3x^3+x^2-4x+8\r<BR>\n" );
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document.write( "just looking for p(?)=0<BR>\n" );
document.write( "Thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381009 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=381009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Polynomial is of odd degree, this means that P(x) approaches infinity as x approaches infinity; P(x) approaches negative infinity as x approaches negative infinity.\r<BR>\n" );
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document.write( "Also, we know that P(x) is continuous everywhere. Therefore by the intermediate value theorem, P(x) has at least one real zero. </SPAN>\n" );
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