document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348090>Question 348090</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Factor the trinomial; <BR>\n" );
document.write( "t^3-2t^2-24t <BR>\n" );
document.write( "Select the correct choice below and of necessary fill in the anawer box to complete your choice <BR>\n" );
document.write( "a) t^3-2t^3-24t=__?__ factor completely <BR>\n" );
document.write( "b) The trinomial is not factorable<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248951 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=248951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor completely:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E3-2t%5E2-24t ALIGN=MIDDLE  ALT=\"t%5E3-2t%5E2-24t\"   DISABLED_style= \"max-width:90%; height:auto;\" > First, since t is a common factor in all three terms, you can factor a t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28t%5E2-2t-24%29 ALIGN=MIDDLE  ALT=\"t%28t%5E2-2t-24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now for the trinomial. You need to find two factors of -24 whose sum is -2.<BR>\n" );
document.write( "-24 = 4*(-6) and 4+(-6) = -2, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-2t-24+=+%28t%2B4%29%28t-6%29 ALIGN=MIDDLE  ALT=\"t%5E2-2t-24+=+%28t%2B4%29%28t-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and finally...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E3-2t%5E2-24t+=+highlight%28t%28t%2B4%29%28t-6%29%29 ALIGN=MIDDLE  ALT=\"t%5E3-2t%5E2-24t+=+highlight%28t%28t%2B4%29%28t-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );