document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131119>Question 131119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28p%2B3%29%5E2%2B13%28p%2B3%29%2B3 ALIGN=MIDDLE  ALT=\"12%28p%2B3%29%5E2%2B13%28p%2B3%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can't figure out how to factor this completely the answer I keep getting is p+3(12p+52) but I don't think it is right. One of the other questions I have is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18z%5E8-15z%5E5-18z%5E2 ALIGN=MIDDLE  ALT=\"18z%5E8-15z%5E5-18z%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The answer I got to that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%283z%5E4-2%29%282z%5E2%2B3%29 ALIGN=MIDDLE  ALT=\"3z%5E2%283z%5E4-2%29%282z%5E2%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  however i'm pretty sure that's wrong.  If you could help me that would be great. Thanks so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95749 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=95749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28p%2B3%29%5E2%2B13%28p%2B3%29%2B3 ALIGN=MIDDLE  ALT=\"12%28p%2B3%29%5E2%2B13%28p%2B3%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "To make things a little easier, you can temporarily substitute another variable, say x,for (p+3), to give you:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2%2B13x%2B3 ALIGN=MIDDLE  ALT=\"12x%5E2%2B13x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factoring this trinomial, you'll get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B1%29%284x%2B3%29 ALIGN=MIDDLE  ALT=\"%283x%2B1%29%284x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you can re-substitute the (p+3) for x, to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28p%2B3%29%2B1%29%284%28p%2B3%29%2B3%29 ALIGN=MIDDLE  ALT=\"%283%28p%2B3%29%2B1%29%284%28p%2B3%29%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you simplify this expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p%2B9%2B1%29%284p%2B12%2B3%29 ALIGN=MIDDLE  ALT=\"%283p%2B9%2B1%29%284p%2B12%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p%2B10%29%284p%2B15%29 ALIGN=MIDDLE  ALT=\"%283p%2B10%29%284p%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...and there you have it!<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "Let's first multiply the factors using FOIL:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p%2B10%29%284p%2B15%29+=+12p%5E2%2B45p%2B40p%2B150 ALIGN=MIDDLE  ALT=\"%283p%2B10%29%284p%2B15%29+=+12p%5E2%2B45p%2B40p%2B150\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12p%5E2%2B85p%2B150 ALIGN=MIDDLE  ALT=\"12p%5E2%2B85p%2B150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we'll expand the given trinomial that you were asked to factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28p%2B3%29%5E2%2B13%28p%2B3%29%2B3+=+12%28p%5E2%2B6p%2B9%29%2B13%28p%2B3%29%2B3 ALIGN=MIDDLE  ALT=\"12%28p%2B3%29%5E2%2B13%28p%2B3%29%2B3+=+12%28p%5E2%2B6p%2B9%29%2B13%28p%2B3%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812p%5E2%2B72p%2B108%29%2B%2813p%2B39%29%2B3+=+12p%5E2%2B85p%2B150 ALIGN=MIDDLE  ALT=\"%2812p%5E2%2B72p%2B108%29%2B%2813p%2B39%29%2B3+=+12p%5E2%2B85p%2B150\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "2) Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18z%5E8-15z%5E5-18z%5E2 ALIGN=MIDDLE  ALT=\"18z%5E8-15z%5E5-18z%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  First factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2 ALIGN=MIDDLE  ALT=\"3z%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%286z%5E6-5z%5E3-18%29 ALIGN=MIDDLE  ALT=\"3z%5E2%286z%5E6-5z%5E3-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now, to simplify the calculations a bit, temporarily substitute x for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E3 ALIGN=MIDDLE  ALT=\"z%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but only inside the parentheses!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%286x%5E2-5x-6%29 ALIGN=MIDDLE  ALT=\"3z%5E2%286x%5E2-5x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor the trinomial in x. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%283x%2B2%29%282x-3%29 ALIGN=MIDDLE  ALT=\"3z%5E2%283x%2B2%29%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, you can replace the x with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E3 ALIGN=MIDDLE  ALT=\"z%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%283z%5E3%2B2%29%282z%5E3-3%29 ALIGN=MIDDLE  ALT=\"3z%5E2%283z%5E3%2B2%29%282z%5E3-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...so you were close!<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%283z%5E3%2B2%29%282z%5E3-3%29+=+3z%5E2%286z%5E6-9z%5E3%2B4z%5E3-6%29 ALIGN=MIDDLE  ALT=\"3z%5E2%283z%5E3%2B2%29%282z%5E3-3%29+=+3z%5E2%286z%5E6-9z%5E3%2B4z%5E3-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3z%5E2%286z%5E6-5z%5E3-6%29+=+18z%5E8-15z%5E5-18z%5E2 ALIGN=MIDDLE  ALT=\"3z%5E2%286z%5E6-5z%5E3-6%29+=+18z%5E8-15z%5E5-18z%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...which is exactly what you started with! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );