document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451734>Question 451734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i divide x^4-2x+1 by 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 #310633 by </B><A HREF=/tutors/aboutme.mpl?userid=pedjajov><B>pedjajov(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pedjajov><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=310633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You divide one polynomial with the other one by dividing highest terms.\r<BR>\n" );
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document.write( "But first we have to write polynomials like they have terms with all exponents,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-2x%2B1+=+x%5E4%2B0x%5E3%2B0x%5E2-2x%2B1 ALIGN=MIDDLE  ALT=\"x%5E4-2x%2B1+=+x%5E4%2B0x%5E3%2B0x%5E2-2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For example for these two at the beginning highest terms are x^4 in first and x in the second. Dividing these two gives us x^3.<BR>\n" );
document.write( "Now we should multiply x^3 with (x-3).<BR>\n" );
document.write( "We get x^4-2x^3. We subtract like terms to get 2x^3.<BR>\n" );
document.write( "Now we drop down next term 0x^2 and we repeat previous until we get to the terms we can't make division anymore. What's left is a reminder\r<BR>\n" );
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document.write( "Here is how it looks for this problem:\r<BR>\n" );
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document.write( "x^4+0x^3+0x^2-2x+1 / x-2  = x^3+2x^2+4x+6<BR>\n" );
document.write( "x^4-2x^3<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "    2x^3+0x^2<BR>\n" );
document.write( "    2x^3-4x^2<BR>\n" );
document.write( "   ----------<BR>\n" );
document.write( "         4x^2-2x<BR>\n" );
document.write( "         4x^2-8x<BR>\n" );
document.write( "        ---------<BR>\n" );
document.write( "              6x+1 <BR>\n" );
document.write( "	      6x-12<BR>\n" );
document.write( "             -------<BR>\n" );
document.write( "                 +13\r<BR>\n" );
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document.write( "Check: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%5E3%2B2x%5E2%2B4x%2B6%29+%2B13 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%5E3%2B2x%5E2%2B4x%2B6%29+%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B2x%5E3%2B4x%5E2%2B10x-2x%5E3-4x%5E2-8x-12%2B13 ALIGN=MIDDLE  ALT=\"x%5E4%2B2x%5E3%2B4x%5E2%2B10x-2x%5E3-4x%5E2-8x-12%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-2x%2B1 ALIGN=MIDDLE  ALT=\"x%5E4-2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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