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 #115375 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=115375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember you <b>CANNOT</b> divide by zero (ie something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F0 ALIGN=MIDDLE  ALT=\"2%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <b>NOT</b> possible). So this means that if there are values of \"p\" that make the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-49 ALIGN=MIDDLE  ALT=\"p%5E2-49\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to zero, then these \"p\" values make the expression undefined.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-49=0 ALIGN=MIDDLE  ALT=\"p%5E2-49=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the denominator equal to zero\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-7%29%28p%2B7%29=0 ALIGN=MIDDLE  ALT=\"%28p-7%29%28p%2B7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side\r<BR>\n" );
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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;\" > or <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;\" > Set each factor equal to zero\r<BR>\n" );
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document.write( "<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;\" > or <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;\" > Solve for \"p\" for each case\r<BR>\n" );
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document.write( "So if <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;\" > or <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;\" >, then the denominator is zero. So either <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;\" > or <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;\" > will make the expression <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;\" > will make the expression undefined.\r<BR>\n" );
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document.write( "note: the numerator plays no part in determining undefined values since 0 in the numerator is possible. </SPAN>\n" );
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