document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324687>Question 324687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the trinomial \r<BR>\n" );
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document.write( "s^2-9s+18\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 #232510 by </B><A HREF=/tutors/aboutme.mpl?userid=jessica43><B>jessica43(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jessica43><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=232510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factoring a trinomial is the opposite of the FOIL method.  The binomial factors will have this form:<BR>\n" );
document.write( "(s   A)(s   B)<BR>\n" );
document.write( "where A and B will be the factors of the third term (18). The factors of 18 are: 1, 2, 3, 6 , 9 and 18. So these are our possibilities of A and B: 1&18, 2&9, 3&6.<BR>\n" );
document.write( "Now, we need to see what combination, when added, will equal -9 (since the second term is -9s.<BR>\n" );
document.write( "We know that both numbers must be negative because when added they equal a negative number, but when multiplied, they equal a positive number.  The only possibility is -6 and -3.<BR>\n" );
document.write( "So your answer is:<BR>\n" );
document.write( "(s-3)(s-6) </SPAN>\n" );
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