document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156593>Question 156593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all numbers which the rationnal expresson is undefined.<BR>\n" );
document.write( "p^3-4p divided by p^2-49.<BR>\n" );
document.write( "i started to factor the top p(p^2-4)= (p-2)(p+2)<BR>\n" );
document.write( "then the bottom (p-7)(p+7).\r<BR>\n" );
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document.write( "I think im factoring and not answering the question.  So many rules and formulas im getting mixed up.<BR>\n" );
document.write( "Hel\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115377 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=115377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%5E3-4p%29%2F%28p%5E2-49%29 ALIGN=MIDDLE  ALT=\"%28p%5E3-4p%29%2F%28p%5E2-49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the values of p for which the given expression is undefined.<BR>\n" );
document.write( "An expression is \"undefined\" if its denominator is zero, so you want to find which values of p will make the denominator zero. You can leave the numerator as is and concentrate on the denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%5E3-4p%29%2F%28p%5E2-49%29 ALIGN=MIDDLE  ALT=\"%28p%5E3-4p%29%2F%28p%5E2-49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator.  You have done this correctly!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%5E3-4p%29%2F%28p-7%29%28p%2B7%29 ALIGN=MIDDLE  ALT=\"%28p%5E3-4p%29%2F%28p-7%29%28p%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now look at the factors in the denominator to see what values of p will make either factor zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-7+=+0 ALIGN=MIDDLE  ALT=\"p-7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+7 ALIGN=MIDDLE  ALT=\"p+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an \"excluded\" value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2B7+=+0 ALIGN=MIDDLE  ALT=\"p%2B7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+-7 ALIGN=MIDDLE  ALT=\"p+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an \"excluded\" value.<BR>\n" );
document.write( "So that p = 7 and p = -7 are the values of p that will render the expression \"undefined\" </SPAN>\n" );
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