document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619989>Question 619989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I graph this rational function on an oblique (slant) asymptote: T(W)=w^2+2w+4św-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389876 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=389876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I graph this rational function on an oblique (slant) asymptote: <BR>\n" );
document.write( "T(W)=w^2+2w+4św-1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Given equation has a slant asymptote because the degree of the denominator is 1 less than the degree of the denominator.<BR>\n" );
document.write( "To find the equation of the slant asymptote, divide by long division or synthetic division.<BR>\n" );
document.write( "The resulting quotient is the straight line equation of this asymptote.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "By synthetic division:<BR>\n" );
document.write( "...1...|...1.......2.......4.............<BR>\n" );
document.write( "........|............1.......3............<BR>\n" );
document.write( "........|...1.......3.......7............<BR>\n" );
document.write( "T(w)=(w+3) + remainder 7<BR>\n" );
document.write( "Equation of slant asymptote: w+3<BR>\n" );
document.write( "T(0)=-4<BR>\n" );
document.write( "note: vertical asymptote at 1 (not shown on graph)<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=(x^2+2x+4)/(x-1)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C%28x%5E2%2B2x%2B4%29%2F%28x-1%29%2C+x%2B3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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