document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013109>Question 1013109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone help please, it says. \r<BR>\n" );
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document.write( "Use synthetic division to solve : x^5-4x^4-2x^3+4x^2+x=0 \r<BR>\n" );
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document.write( "Show work please. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629315 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From x^5 - 4x^4 - 2x^3 + 4x^2 + x = 0, we c an see that x factors out and gives<BR>\n" );
document.write( "x(x^4 - 4x^3 - 2x^2 + 4x + 1) = 0<BR>\n" );
document.write( "which means x = 0.<BR>\n" );
document.write( "If we inspect this remaining factor, we can see x = 1 is a root also...so let us synthetically divide by -1...\r<BR>\n" );
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document.write( "-1] 1 -4 -2 4 1<BR>\n" );
document.write( "          -1 5-3 -1<BR>\n" );
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document.write( "    1 -5 3 1<BR>\n" );
document.write( "so what remains is x^3 - 5x^2 - 3x + 1 = 0<BR>\n" );
document.write( "Then continue the process if possible... </SPAN>\n" );
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