document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52506>Question 52506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find all the asymptotes of G(x)=(x^3-1)/(x+x^2)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35052 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=35052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I find all the asymptotes of G(x)=(x^3-1)/(x+x^2)?\r<BR>\n" );
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document.write( "Vertical asymptotes occur where the denominator is zero, as follows:<BR>\n" );
document.write( "x+x^2=0<BR>\n" );
document.write( "x(1+x)=0<BR>\n" );
document.write( "x=0 or x=-1<BR>\n" );
document.write( "Neither of these values makes the numerator zero so you have <BR>\n" );
document.write( "vertical asymptotes at x=0 and at x=-1.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Horizontal asymptotes:<BR>\n" );
document.write( "The highest degree of \"x\" is x^3 and the coefficient of x^3 is \"1\".<BR>\n" );
document.write( "The coefficient of x^3 in the denominator is \"0\".<BR>\n" );
document.write( "The fraction 1/0 is undefined.  Therefore there is no horizontal asymptote.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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