document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836299>Question 836299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide using long division\r<BR>\n" );
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document.write( "(3x^3-11x^2-56x-43) divided by (3x+4)\r<BR>\n" );
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document.write( "i don't understand how to do this <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 #504104 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=504104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you UNDERSTAND long division of decimal or whole numbers, then polynomial division is really exactly the same.  Instead of place value in powers of 10, you have x.  You have powers of x instead of powers of 10.\r<BR>\n" );
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document.write( "This is easier to show either on paper, or interactively, if you have some capability for this; some online system maybe?\r<BR>\n" );
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document.write( "3x+4________|_____1x^2_____-(14/3)x_____(112/9)____________________________<BR>\n" );
document.write( "____________|_____3x^3_____-11x^2_______-56x_______-43<BR>\n" );
document.write( "____________|<BR>\n" );
document.write( "____________|____3x^3______4x^2<BR>\n" );
document.write( "____________|___________________<BR>\n" );
document.write( "____________|_____0________-14x^2 ....._-56x<BR>\n" );
document.write( "____________|______________-14x^2_______-(56/3)x<BR>\n" );
document.write( "____________|____________________________________<BR>\n" );
document.write( "____________|_______________0___________(112/3)x.....-43<BR>\n" );
document.write( "____________|___________________________(112/3)x_____448/9<BR>\n" );
document.write( "____________|_______________________________________________<BR>\n" );
document.write( "____________|_____________________________0_________(-835/9), the remainder\r<BR>\n" );
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document.write( "The quotient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2-%2814%2F3%29x%2B%28112%2F9%29-%28835%2F9%29%281%2F%283x%2B4%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2-%2814%2F3%29x%2B%28112%2F9%29-%28835%2F9%29%281%2F%283x%2B4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which can be a bit more simplified for the remainder and the mixed numbers if you wanted. </SPAN>\n" );
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