document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129562>Question 129562</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030660548/algebrahomeworkh>algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find all of the other roots of the polynomial equation    x^5-x^3-8x^2+8=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94607 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=94607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-30%2C+30%2C+-30%2C+30%2C+x%5E5+-+x%5E3+-8x%5E2+%2B+8%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-30%2C+30%2C+-30%2C+30%2C+x%5E5+-+x%5E3+-8x%5E2+%2B+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "by observing the graph we cn find that -1 and +1 are the first twoo roots. \r<BR>\n" );
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document.write( "The other 3 roots are repeated roots and it would be 2.\r<BR>\n" );
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document.write( "This can be factorised by the method of trail and error method and then by synthetic division method.\r<BR>\n" );
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document.write( "by the trail and error method we find that 1 is the first factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%28x%5E4+%2B+x%5E3+-+8x+-+8%29 ALIGN=MIDDLE  ALT=\"%28x+-+1%29%28x%5E4+%2B+x%5E3+-+8x+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Then the second equation is agin siplified\r<BR>\n" );
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document.write( "here we find that x + 1 is a factor.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%28x+%2B+1%29%28x%5E3+-+8%29+ ALIGN=MIDDLE  ALT=\"%28x+-+1%29%28x+%2B+1%29%28x%5E3+-+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be the next eqn.\r<BR>\n" );
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document.write( "So the last eqn will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3+-+8%29 ALIGN=MIDDLE  ALT=\"%28x%5E3+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored and thus we get repeated roots \r<BR>\n" );
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document.write( "hence, the roots are x = 1, -1, 2, 2, 2\r<BR>\n" );
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document.write( "(x - 1)(x + 1)(x- 2)(x - 2)(x - 2)\r<BR>\n" );
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document.write( "Are the roots of the eqn\r<BR>\n" );
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document.write( "Thus the solution\r<BR>\n" );
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document.write( "Regards<BR>\n" );
document.write( "Chitra </SPAN>\n" );
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