document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29745>Question 29745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What values for x must be excluded in the following fraction?\r<BR>\n" );
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document.write( "x+2/x^2-9x+14\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16483 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+2)/(x^2-9x+14)<BR>\n" );
document.write( "=(x+2)/[(x-7)(x-2)]  (by factorisation of the dr)<BR>\n" );
document.write( "Note: If the problem is<BR>\n" );
document.write( "(x-2)/(x^2-9x+14)<BR>\n" );
document.write( "=(x-2)/[(x-7)(x-2)]<BR>\n" );
document.write( "=1/(x-7) (canceling (x-2) )<BR>\n" );
document.write( "Note: (x^2-9x+14) is a quadratic expression  <BR>\n" );
document.write( "and the middle term is splittable into two parts <BR>\n" );
document.write( "(-7x) and (-2x) so that their sum is the middle term <BR>\n" );
document.write( "and their product is the product of the square term and the constant term. <BR>\n" );
document.write( "Here (-9x) = (-7x)+(-2x) and (-7x)X(-2x) = 14x^2 = (x^2)X(14)<BR>\n" );
document.write( "(x^2-9x+14)<BR>\n" );
document.write( "=x^2-7x-2x+14<BR>\n" );
document.write( "=(x^2-7x)-2x+14<BR>\n" );
document.write( "=x(x-7)-2(x-7)<BR>\n" );
document.write( "=xp-2p where p = (x-7)<BR>\n" );
document.write( "=p(x-2)<BR>\n" );
document.write( "=(x-7)(x-2) </SPAN>\n" );
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