document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033529>Question 1033529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the horizontal or oblique asymptotes of g(x)\r<BR>\n" );
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document.write( "F(x)= 9x^3+2x/3x^2+1\r<BR>\n" );
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document.write( "I know you need to use long divison but I am stuck </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648164 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is y = (9x^3 + 2x) / (3x^2 + 1)\r<BR>\n" );
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document.write( "if the degree of the numerator is less than or equal to the degree of the denominator, than you will get a horizontal asymptote.\r<BR>\n" );
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document.write( "if the degree of the numerator is greater than the degree of the denominator by 1 degree, then you will get a slant asymptote.\r<BR>\n" );
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document.write( "the degree of the numerator is one more than the degree of the denominator so you have a slant asymptote.\r<BR>\n" );
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document.write( "divide the denominator into the numerator and you will get y = 3x plus a remainder.\r<BR>\n" );
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document.write( "forget the remainder and the equation of your slant asymptote is y = 3x.\r<BR>\n" );
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document.write( "here's the graph of your equation and the equation of the slant asymptote.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/050801.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the graph of the horizontal or slant asymptote CAN cross the graph of the equation.\r<BR>\n" );
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document.write( "that is exactly what it does here.\r<BR>\n" );
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document.write( "it crosses the graph of the equation at x = 0.\r<BR>\n" );
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document.write( "here's the same graph blown up so you can see the intersection point more clearly.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/050802.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "here's a reference on horizontal and slant asymptotes.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/18-rational-functions-finding-horizontal-slant-asymptotes-01\" target = \"_blank\">http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/18-rational-functions-finding-horizontal-slant-asymptotes-01</a>\r<BR>\n" );
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document.write( "you, of course, need to know how to do polynomial division.\r<BR>\n" );
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document.write( "if you have a problem with that, look here:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/polydiv2.htm\" target = \"_blank\">http://www.purplemath.com/modules/polydiv2.htm</a.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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