document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034713>Question 1034713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x-3/x^2-x-12   this is on a study guide of mine labeled partial functions and I have no idea where to start!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649393 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x%5E2-x-12%29+=+%28x-3%29%2F%28x-4%29%28x%2B3%29+=+A%2F%28x-4%29+%2B+B%2F%28x%2B3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we have to find A and B...multiply everything by (x-4)(x+3) and get<BR>\n" );
document.write( "x - 3 = A(x+3) + B(x-4)<BR>\n" );
document.write( "x - 3 = Ax + Bx + 3A - 4B = (A+B)x + (3A-4B)<BR>\n" );
document.write( "From this we get<BR>\n" );
document.write( "A + B = 1 and<BR>\n" );
document.write( "3A - 4B = -3<BR>\n" );
document.write( "Multiply the top one by 4 and add it to the bottom one...<BR>\n" );
document.write( "3A - 4B = -3<BR>\n" );
document.write( "+(4A + 4B = 4)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "7A = 1<BR>\n" );
document.write( "A = 1/7 so that<BR>\n" );
document.write( "B = 6/7<BR>\n" );
document.write( "which means the partial fractions are<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F7%29%2F%28x-4%29+%2B+%286%2F7%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%281%2F7%29%2F%28x-4%29+%2B+%286%2F7%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );