document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983606>Question 983606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the quotient and remainder when P(x) is divided by D(x). <BR>\n" );
document.write( "P(x)= x^4 + x^3 +2x^2 +x+1 ; D(x)= x^2-2x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604389 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2-2x+1 ;; divide into x^4 + x^3 +2x^2 +x+1\r<BR>\n" );
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document.write( "First term is x^2, and you have x^4-3x^3+x^2 underneath.<BR>\n" );
document.write( "subtract, and you have 3x^3+x^2+x\r<BR>\n" );
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document.write( "Second term is 3x, and you have 3x^3-6x^2+3x underneath.<BR>\n" );
document.write( "Subtract, and you have 7x^2-2x+1\r<BR>\n" );
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document.write( "Third term is 7, and you have 7x^2-14x+7<BR>\n" );
document.write( "Subtract, and you have 12x-6  remainder\r<BR>\n" );
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document.write( "if you multiply (x^2-2x+1)and (x^2+3x+7), you obtain<BR>\n" );
document.write( "x^4+x^3+2x^2-11x+7.  If you add the two, you get the original polynomial divisor.\r<BR>\n" );
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document.write( "quotient is x^2+3x+7; remainder 12x-6<BR>\n" );
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