document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193821>Question 193821</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0138142254/algebrahomeworkh>Basic Technical Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi Tutor<BR>\n" );
document.write( "I'm not completely sure about this problem.<BR>\n" );
document.write( "x^3-2x^2+9x-18<BR>\n" );
document.write( "The direction is factor by grouping.  Do I just subtract and add just as writen?<BR>\n" );
document.write( "I would appreciate your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145514 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^3 - 2x^2 + 9x - 18\">\r<BR>\n" );
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document.write( "Put the terms into two groups (hence the name, factor by <i>grouping</i>)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x^3 - 2x^2) + (9x - 18)\">\r<BR>\n" );
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document.write( "Factor an <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2\"> out of the first group, and a 9 out of the second group:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2(x - 2) + 9(x - 2)\">\r<BR>\n" );
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document.write( "Now notice that each term has a factor of <b>(<i>x</i> - 2)</b>\r<BR>\n" );
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document.write( "Factor that out:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x^2 + 9)(x - 2)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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