document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966542>Question 966542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x). Express P(x) in the form d(x)*Q(x)+R(x).\r<BR>\n" );
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document.write( "P(x)=x^4+4x^3-x-8<BR>\n" );
document.write( "d(x)=x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590721 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=590721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do the same as for regular long division.  THE SAME!!!\r<BR>\n" );
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document.write( "I do not show here the separate steps; only the main work altogether:\r<BR>\n" );
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document.write( "____________________x^3_______6x^2_______12x_______23__________<BR>\n" );
document.write( "_________|____________________________________________________<BR>\n" );
document.write( "___x-2___|_________x^4_______4x^3______0*x^2______-x______-8<BR>\n" );
document.write( "___________________x^4______-2x^3<BR>\n" );
document.write( "__________________________________<BR>\n" );
document.write( "___________________0_________6x^3_____<i>0*x^2</i><BR>\n" );
document.write( "_____________________________6x^3_____-12x^2<BR>\n" );
document.write( "___________________________________________________<BR>\n" );
document.write( "_______________________________0_______12x^2______-x<BR>\n" );
document.write( "_______________________________________12x^2______-24x<BR>\n" );
document.write( "_______________________________________________________<BR>\n" );
document.write( "_______________________________________0__________23x______-8<BR>\n" );
document.write( "__________________________________________________23x_____-46<BR>\n" );
document.write( "______________________________________________________________<BR>\n" );
document.write( "___________________________________________________0______<b>38</b>\r<BR>\n" );
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document.write( "Quotient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B6x%5E2%2B12x%2B23 ALIGN=MIDDLE  ALT=\"x%5E3%2B6x%5E2%2B12x%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and remainder is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38 ALIGN=MIDDLE  ALT=\"38\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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