document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014897>Question 1014897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the zeros of the polynomial \r<BR>\n" );
document.write( "\n" );
document.write( "x^6-4x^5+4x^4\r<BR>\n" );
document.write( "\n" );
document.write( "Enter your answers in increasing order. Enter “none” in all entry areas if there are no zeros.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631209 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find the zeros of the polynomial \r<BR>\n" );
document.write( "\n" );
document.write( "x^6-4x^5+4x^4<BR>\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of parentheses:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^6-4x^5+4x^4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2A%28x%5E2+-+4x+%2B+4%29 ALIGN=MIDDLE  ALT=\"x%5E4%2A%28x%5E2+-+4x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Next, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4x+%2B+4 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The roots of the original polynomial are x=0 of multiplicity 4 and x=2 of multiplicity 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );