document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172562>Question 172562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am helping a student study for a final in Intermediate Algebra. The problem is from a worksheet and only says \"Simplify\". I cannot figure out how to simplify the numerator. I tried factoring by grouping, but came up with nothing. Any help is greatly appreciated!!!\r<BR>\n" );
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document.write( "Here's the problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5E4-t%5E3-14t%5E2%2B7t-4%29%2F%28t-4%29 ALIGN=MIDDLE  ALT=\"%28t%5E4-t%5E3-14t%5E2%2B7t-4%29%2F%28t-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<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 #127431 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=127431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5E4-t%5E3-14t%5E2%2B7t-4%29%2F%28t-4%29 ALIGN=MIDDLE  ALT=\"%28t%5E4-t%5E3-14t%5E2%2B7t-4%29%2F%28t-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Well, no wonder you're having trouble...the numerator is not factorable, and if you divide the numerator by the denominator, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E3%2B3t%5E2-2t-1 ALIGN=MIDDLE  ALT=\"t%5E3%2B3t%5E2-2t-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a remainder of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > so you can see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-4 ALIGN=MIDDLE  ALT=\"t-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E4-t%5E3-14%5E2t%2B7t-4 ALIGN=MIDDLE  ALT=\"t%5E4-t%5E3-14%5E2t%2B7t-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > so I would have to conclude that the given fraction is already simplified. </SPAN>\n" );
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