document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611295>Question 611295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> does y=(2x^2+3x+1)/(x^2-5x+4) have a hole </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384915 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=384915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282x%5E2%2B3x%2B1%29%2F%28x%5E2-5x%2B4%29 ALIGN=MIDDLE  ALT=\"y=%282x%5E2%2B3x%2B1%29%2F%28x%5E2-5x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A rational function will have a hole if there is a common factor between the numerator and denominator. (If there is more than one common factor, then there there will be that many holes.)<br><BR>\n" );
document.write( "So we need to see what the factors of the numerator and denominator are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%282x%2B1%29%28x%2B1%29%29%2F%28x-1%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"y=%28%282x%2B1%29%28x%2B1%29%29%2F%28x-1%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are no common factors between the numerator and denominator so there will be no holes in the graph. </SPAN>\n" );
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