document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83643>Question 83643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP PLEASE...Find all positive values for k for which each of the following can be factored:\r<BR>\n" );
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document.write( "x^2+x-k </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60168 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this expression is factorable as long as the difference in the factors of k is 1\r<BR>\n" );
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document.write( "x^2+x-6=(x+3)(x-2) ... x^2+x-132=(x+12)(x-11) ... etc.\r<BR>\n" );
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document.write( "so k=(n+1)n for n>=0 ... where n is an integer value\r<BR>\n" );
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document.write( "the negative value of k in the expression means one of the factors is negative, giving the x term a coefficient of 1 </SPAN>\n" );
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