document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200667>Question 200667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a polynomial P(x) is divided by D(x), its quotient is Q(x) and remainder is R(x). Is it true that when P(x) is divided by Q(x), <BR>\n" );
document.write( "its remainder is also R(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150915 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=150915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nope.<BR>\n" );
document.write( "Make it easy on yourself, forget the polynomials and try the problem using integers. Take an instance and see if it works, If it won;t work for numbers, it wont work for polynomials\r<BR>\n" );
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document.write( "So, let's take 20/6<BR>\n" );
document.write( "result 3 1/3\r<BR>\n" );
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document.write( "Now take 20/3<BR>\n" );
document.write( "result 6 2/3\r<BR>\n" );
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document.write( "1/3 <> 2/3 so you can see they are not equal. If there is a speficic case where the proposal fails to hold, then it cannot hold in general\r<BR>\n" );
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document.write( "So in one easy step you found a case where the proposed answer fails. All it takes is one ! </SPAN>\n" );
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