document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157351>Question 1157351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with this... find the oblique asymptote of R(x)=(x^3+4x+1)/(x-2)______ please explain with detail </SPAN>\n" );
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document.write( "There is no oblique asymptote.<br><BR>\n" );
document.write( "The numerator is degree 3, the denominator is degree 1.  The quotient is degree 2, so the asymptote is a parabola, not a line.  By the formal definition, an oblique asymptote is a line.<br><BR>\n" );
document.write( "Perform the indicated division, either with long division or synthetic division.  The result will be<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B4x%2B1%29%2F%28x-2%29+=+x%5E2%2B2x%2B8%2B9%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B4x%2B1%29%2F%28x-2%29+=+x%5E2%2B2x%2B8%2B9%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The asymptote will be the quadratic function x^2+2x+8.<br><BR>\n" );
document.write( "Here is graph of the function and its asymptote.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C80%2C%28x%5E3%2B4x%2B1%29%2F%28x-2%29%2Cx%5E2%2B2x%2B8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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