document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419734>Question 419734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all numbers for which rational expression is undefined.<BR>\n" );
document.write( "p^3-8p/p^2-49 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293447 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this looks like:\r<BR>\n" );
document.write( "\n" );
document.write( "(p^3-8p)/(p^2-49)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it looks like this equation would be undefined when p = + or - 7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that would make the denominator equal to 0 which would make the whole expression undefined.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i think that's it.   \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a graph of this equation can also help to show you where the undefined areas are.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It's not fool proof but it does help.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-40%2C40%2C-80%2C80%2C%28x%5E3+-+8x%29+%2F+%28x%5E2+-+49%29%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-40%2C40%2C-80%2C80%2C%28x%5E3+-+8x%29+%2F+%28x%5E2+-+49%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the graph above, if you draw a vertical line at x = -7 and at x = 7, you will see that the value is undefined at those points.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's because the denominator of the equation is equal to 0 at those values of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in order to graph your equation, i had to change the \"p\" to an \"x\".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it doesn't change the equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it only changes the variable used.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this allows it to be graphed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );