document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443251>Question 443251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all numbers for which the rational number is undefined. <BR>\n" );
document.write( "p^3-9p/p^2-16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305752 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all numbers for which the rational number is undefined. <BR>\n" );
document.write( "p^3-9p/p^2-16<BR>\n" );
document.write( ".<BR>\n" );
document.write( "It is only undefined if the denominator is zero so:<BR>\n" );
document.write( "p^2 - 16 = 0<BR>\n" );
document.write( "(p-4)(p+4) = 0<BR>\n" );
document.write( "p = {4, -4}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, the numbers that would make it undefined are:<BR>\n" );
document.write( "-4 and 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );