document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139068>Question 139068</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013062568X/algebrahomeworkh>Prentice Hall Mathematics Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%286x%5E2%2Bx-2%29%2F%283x%5E2%2B17x%2B10%29 ALIGN=MIDDLE  ALT=\"y=+%286x%5E2%2Bx-2%29%2F%283x%5E2%2B17x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I need to describe the vertical asymptots and holes for the graphy of the rational function </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101450 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=101450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y= (6x^2+x-2)/(3x^2+17x+10)\r<BR>\n" );
document.write( "\n" );
document.write( "Factor where you can:\r<BR>\n" );
document.write( "\n" );
document.write( "6x^2 + x -2 = 6x^2+4x-3x-2 = 2x(3x+2)-(3x+2) = (3x+2)(2x-1)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "3x^2 + 17x + 10 = 3x^2 + 15x + 2x + 10 = 3x(x+5) + 2(x+5)= (x+5)(3x+2)\r<BR>\n" );
document.write( "\n" );
document.write( "------------<BR>\n" );
document.write( "Now the problem can be written as:\r<BR>\n" );
document.write( "\n" );
document.write( "y= [(3x+2)(2x-1)] / [(x+5)(3x+2)]\r<BR>\n" );
document.write( "\n" );
document.write( "----------------<BR>\n" );
document.write( "Because numerator and denominator have a factor of 3x+2 there is a hole at <BR>\n" );
document.write( "x=-2/3<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "There is a vertical asymptote at x=-5<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );