document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43871>Question 43871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone give me some help with this? I need the steps and solution:\r<BR>\n" );
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document.write( "Factor completely\r<BR>\n" );
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document.write( "-3t³ + 3t² - 6t<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28803 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=28803\">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=-3t%5E3%2B3t%5E2-6t ALIGN=MIDDLE  ALT=\"-3t%5E3%2B3t%5E2-6t\"   DISABLED_style= \"max-width:90%; height:auto;\" > First look for a factor that is common to each term.  It looks like -3t is a common factor so factor this out.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3t%28t%5E2-t%2B2%29 ALIGN=MIDDLE  ALT=\"-3t%28t%5E2-t%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now see if the factor inside the parentheses is factorable. <BR>\n" );
document.write( "Assume the factors will be:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2Ba%29%28t%2Bb%29 ALIGN=MIDDLE  ALT=\"%28t%2Ba%29%28t%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Can you find a & b such that:<BR>\n" );
document.write( "a*b = 2 and a + b = -1\r<BR>\n" );
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document.write( "The factors of 2 are:<BR>\n" );
document.write( "(1)(2) or<BR>\n" );
document.write( "(-1)(-2)\r<BR>\n" );
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document.write( "Neither of these pairs will add up to -1.\r<BR>\n" );
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document.write( "So I would conclude that you cannot factor the expression any further than:\r<BR>\n" );
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