document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76465>Question 76465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide 5x^3 - 5x + 1 by x -3\r<BR>\n" );
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document.write( "Do i have the right answer 5x^2-15x-40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54850 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=54850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Check to make sure that you copied the problem correctly. If the problem is correct as<BR>\n" );
document.write( "you posted it, the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2+%2B+15x+%2B+40+%2B%28121%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"5x%5E2+%2B+15x+%2B+40+%2B%28121%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you posted the problem correctly, then I suspect that you are adding not subtracting <BR>\n" );
document.write( "during the division process.<BR>\n" );
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document.write( "For example.  You got the first division correct ... and the first quotient term is, as you<BR>\n" );
document.write( "found, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. When you multiply this back times the divisor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > the product is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E3+-+15x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E3+-+15x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "when you subtract this from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E3+%2B+0x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E3+%2B+0x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > you CHANGE THE SIGNS of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E3+-+15x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E3+-+15x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to<BR>\n" );
document.write( "get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E3+%2B+15x%5E2+ ALIGN=MIDDLE  ALT=\"-5x%5E3+%2B+15x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then you add this to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E3+%2B+0x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E3+%2B+0x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B15x%5E2 ALIGN=MIDDLE  ALT=\"%2B15x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "You then bring down the -5x term.  So the next division is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E2+-+5x ALIGN=MIDDLE  ALT=\"15x%5E2+-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This division will result in +15x and multiplying it back the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B15x ALIGN=MIDDLE  ALT=\"%2B15x\"   DISABLED_style= \"max-width:90%; height:auto;\" > times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "results in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E2+-+45x ALIGN=MIDDLE  ALT=\"15x%5E2+-+45x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtract this from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E2+-+5x ALIGN=MIDDLE  ALT=\"15x%5E2+-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Do that by changing the<BR>\n" );
document.write( "signs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x%5E2+%2B45x ALIGN=MIDDLE  ALT=\"-15x%5E2+%2B45x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and adding it to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%5E2+-+5x ALIGN=MIDDLE  ALT=\"15x%5E2+-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B40x ALIGN=MIDDLE  ALT=\"%2B40x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Divide the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x ALIGN=MIDDLE  ALT=\"40x\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 40.  Back multiply this to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2A%28x-3%29 ALIGN=MIDDLE  ALT=\"40%2A%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x+-+120 ALIGN=MIDDLE  ALT=\"40x+-+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtract this from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x+%2B+1 ALIGN=MIDDLE  ALT=\"40x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > by changing the signs to <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40x+%2B+120 ALIGN=MIDDLE  ALT=\"-40x+%2B+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > and adding that to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x%2B1 ALIGN=MIDDLE  ALT=\"40x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121 ALIGN=MIDDLE  ALT=\"121\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The 121 is the remainder<BR>\n" );
document.write( "and it can be divided by the divisor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will make the answer to this division<BR>\n" );
document.write( "problem:<BR>\n" );
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document.write( ". <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2+%2B+15x+%2B+40 ALIGN=MIDDLE  ALT=\"5x%5E2+%2B+15x+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > with a remainder of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"121%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the process of algebraic long division.<BR>\n" );
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document.write( " </SPAN>\n" );
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