document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72339>Question 72339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really someone to show me step by step how to solve this one....and if possibly explain it to me.....that will be awsome...\r<BR>\n" );
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document.write( "Directions: 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 #51748 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=51748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're looking for a number which allows you to find 2 numbers that add to 1. There are infinite possibilities for this to happen. For instance you could have k=30 and the polynomial could factor to (x+6)(x-5) (which FOILs to x^2+x-30). Or you could have k=42 and the polynomial factors to (x+7)(x-6) (which FOILs to x^2+x-42). The list of k values is infinite, but k needs to be the product of 2 factors which have a difference of 1 (for instance 6 and 7, or 5 and 6) in order for this to work. </SPAN>\n" );
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