document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263129>Question 263129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you do factor form like\r<BR>\n" );
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document.write( "n to the second power + 11n +18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193877 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=193877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n to the second power + 11n +18\r<BR>\n" );
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document.write( "n^2 + 11n + 18\r<BR>\n" );
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document.write( "We want to find two factors in the form:\r<BR>\n" );
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document.write( "(n +- a)*(n +- b)\r<BR>\n" );
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document.write( "Since the sign on 18 is positive we know that the signs on the two factors are either both positive or both negative. a and b must be factors of 18 (i.e. 1, 18, 3, 6, 9, 2). We also know that a + b must be 11. Which two factors add up to 11?  +9 and +2.  So we have:\r<BR>\n" );
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document.write( "(n + 9)*(n + 2) = n^2 + 2n + 9n + 9*2 = n^2 +11n + 18\r<BR>\n" );
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