document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096119>Question 1096119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear tutor I need your help for my homework. Hope you can help. The question is \r<BR>\n" );
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document.write( "Find the value of a if 2x-3 is the factor of 2x^4-x^3-3x^2-2x+a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710569 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=710569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do polynomial division<BR>\n" );
document.write( "=======x^3+x^2-1<BR>\n" );
document.write( "2x-3/2x^4-x^3-3x^2-2x+a<BR>\n" );
document.write( "=====2x^4-3x^3 (change signs)<BR>\n" );
document.write( "==========2x^3-3x^2-2x+a <BR>\n" );
document.write( "==========2x^3-3x^2<BR>\n" );
document.write( "===================-2x+a<BR>\n" );
document.write( "===================-2x+3<BR>\n" );
document.write( "change signs to get a-3, which must equal 0, so that a=3<BR>\n" );
document.write( "then multiply the factors (2x-3)(x^3+x^2-1), which gives the original polynomial with the last term +3.<BR>\n" );
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