document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129603>Question 129603</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321143183/algebrahomeworkh>Developmental Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please break this problem down for me step by step.  I do not understand how the answer is achieved.  I have the answer from the answer key in my book and i have  tried to understand how it was reached but it seems it is beyond my capability at this point.  Here is the problem: 4x^3-6x^2-6x+9  Any help will be greatly appreciated!!\r<BR>\n" );
document.write( "\n" );
document.write( "Mathematically challenged,<BR>\n" );
document.write( "Ron </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94639 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=94639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have not said what is to be done with this problem! I can only assume that the given expression is to be factored, am I right?<BR>\n" );
document.write( "Let's proceed.<BR>\n" );
document.write( "Factor the expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3-6x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"4x%5E3-6x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Look at the first and last terms and see what their factors are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3+=+%282x%5E2%29%282x%29 ALIGN=MIDDLE  ALT=\"4x%5E3+=+%282x%5E2%29%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2x%5E2%29%28-2x%29 ALIGN=MIDDLE  ALT=\"%28-2x%5E2%29%28-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > are possibilities.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3+=+%284x%5E2%29%28x%29 ALIGN=MIDDLE  ALT=\"4x%5E3+=+%284x%5E2%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is another.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+%283%29%283%29 ALIGN=MIDDLE  ALT=\"9+=+%283%29%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%29%28-3%29 ALIGN=MIDDLE  ALT=\"%28-3%29%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%289%29 ALIGN=MIDDLE  ALT=\"%281%29%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28-9%29 ALIGN=MIDDLE  ALT=\"%28-1%29%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you need to make an \"educated guess\"<BR>\n" );
document.write( "Let's try:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2-3%29%282x-3%29 ALIGN=MIDDLE  ALT=\"%282x%5E2-3%29%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the factors.<BR>\n" );
document.write( "Check, using FOIL:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2-3%29%282x-3%29+=+4x%5E2-6x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"%282x%5E2-3%29%282x-3%29+=+4x%5E2-6x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Bingo! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );