document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212898>Question 212898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor out completely factor GCF first<BR>\n" );
document.write( "3t^7+22t^6+7t^5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160801 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The common factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E5 ALIGN=MIDDLE  ALT=\"t%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the lowest power of t.  So take out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E5 ALIGN=MIDDLE  ALT=\"t%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E5+%283t%5E2+%2B22t+%2B7%29 ALIGN=MIDDLE  ALT=\"t%5E5+%283t%5E2+%2B22t+%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now this trinomial is what I call \"Advanced Trinomial Factoring\".  You can factor it like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E5%283t%2B____%29%28t%2B____%29+ ALIGN=MIDDLE  ALT=\"t%5E5%283t%2B____%29%28t%2B____%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The Last times Last must be 7*1 in order to make the middle term come out to 22t.  You can do this by placing 1 on the first blank line, and 7 on the second blank:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E5%283t%2B1%29%28t%2B7%29 ALIGN=MIDDLE  ALT=\"t%5E5%283t%2B1%29%28t%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you need an informal explanation of any of these topics of Factoring, together with examples, exercises and answers, please see my own website. Do a \"Bing\" search for my last name \"Rapalje\" and look for \"Rapalje Homepage\" near the top of the search list. Click on the link \"Basic, Intermediate and College Algebra: One Step at a Time\" near the top of my Homepage. Select \"Basic Algebra\", and look in \"Chapter 2\" for several topics on \"Factoring\". Also, check out my \"MATH IN LIVING COLOR\" pages on this topic to see solutions to a lot of these problems, IN COLOR of course! \r<BR>\n" );
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document.write( "Also, see my video on Factoring by clicking on \"Rapalje Videos\" on my Homepage!\r<BR>\n" );
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document.write( "R^2 \r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole Community College<BR>\n" );
document.write( "Altamonte Springs Campus<BR>\n" );
document.write( "Florida<BR>\n" );
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