document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187468>Question 187468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What values for x must be excluded in the fraction:\r<BR>\n" );
document.write( "\n" );
document.write( "x+2/x^-9x+14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140525 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=140525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the excluded values of x, these are the values of x that would make the denominator zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%5E2-9x%2B14%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%5E2-9x%2B14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'm assuming that you forgot to type in the exponent on the first term! Factor the denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x-2%29%28x-7%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x-2%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now set the denominator equal to zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x-7%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x-7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2+=+0 ALIGN=MIDDLE  ALT=\"x-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=+0 ALIGN=MIDDLE  ALT=\"x-7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+7%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "These are the values of x that would make the denominator equal zero so these are the excluded values of x.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );