document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224799>Question 224799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835b%5E3%2B18b%5E2%2B37b%2B39%29%2F%285b%2B4%29 ALIGN=MIDDLE  ALT=\"%2835b%5E3%2B18b%5E2%2B37b%2B39%29%2F%285b%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167912 by </B><A HREF=/tutors/aboutme.mpl?userid=LtAurora><B>LtAurora(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LtAurora><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=LtAurora><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To do this problem, you have to use long division.<BR>\n" );
document.write( "Set up the equation with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835b%5E3%2B18b%5E2%2B37b%2B39%29 ALIGN=MIDDLE  ALT=\"%2835b%5E3%2B18b%5E2%2B37b%2B39%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > under the division symbol, and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%2B4 ALIGN=MIDDLE  ALT=\"5b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the outside.<BR>\n" );
document.write( "The first one to look at is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35b%5E3%2F5b ALIGN=MIDDLE  ALT=\"35b%5E3%2F5b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer to this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7b%5E2 ALIGN=MIDDLE  ALT=\"7b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This we have to multiply back with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%2B4 ALIGN=MIDDLE  ALT=\"5b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to determine what is going to be subtracted from our equation:<BR>\n" );
document.write( "So, we end up with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B35b%5E3%2B18b%5E2 ALIGN=MIDDLE  ALT=\"%2B35b%5E3%2B18b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is from our initial equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-35b%5E3%2B28b%5E2 ALIGN=MIDDLE  ALT=\"-35b%5E3%2B28b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is from multiplying our answer and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%2B4 ALIGN=MIDDLE  ALT=\"5b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-10b%5E2 ALIGN=MIDDLE  ALT=\"0-10b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We bring down the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37b ALIGN=MIDDLE  ALT=\"37b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and have a new equation to evaluate: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10b%5E2%2B37b ALIGN=MIDDLE  ALT=\"-10b%5E2%2B37b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We divide the first term by the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b ALIGN=MIDDLE  ALT=\"5b\"   DISABLED_style= \"max-width:90%; height:auto;\" > again to give us: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2b ALIGN=MIDDLE  ALT=\"-2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Multiplying this through gives us:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10b%5E2%2B37b ALIGN=MIDDLE  ALT=\"-10b%5E2%2B37b\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is from our new equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B10b%5E2%2B8b ALIGN=MIDDLE  ALT=\"%2B10b%5E2%2B8b\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is from multiplying our answer and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%2B4 ALIGN=MIDDLE  ALT=\"5b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B45b ALIGN=MIDDLE  ALT=\"0%2B45b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We bring down the 3 and have a new equation to evaluate: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45b%2B3 ALIGN=MIDDLE  ALT=\"45b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide the first term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b ALIGN=MIDDLE  ALT=\"5b\"   DISABLED_style= \"max-width:90%; height:auto;\" > leaves us with 9.<BR>\n" );
document.write( "Multiplying through gives us:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45b%2B3 ALIGN=MIDDLE  ALT=\"45b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is from our new equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45b%2B36 ALIGN=MIDDLE  ALT=\"45b%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is from multiplying our answer and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%2B4 ALIGN=MIDDLE  ALT=\"5b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This leaves 39, which is our remainder.\r<BR>\n" );
document.write( "\n" );
document.write( "The entire answer after working all this out is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7b%5E2-2b%2B9%2B39%2F%285b%2B4%29 ALIGN=MIDDLE  ALT=\"7b%5E2-2b%2B9%2B39%2F%285b%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F%285b%2B4%29 ALIGN=MIDDLE  ALT=\"39%2F%285b%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our remainder. </SPAN>\n" );
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