document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129875>Question 1129875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> List the possible solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=-3x%5E5-x%5E3-4x%5E4-5 ALIGN=MIDDLE  ALT=\"P%28x%29=-3x%5E5-x%5E3-4x%5E4-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I tried grouping but that was a dead end and I don't know what else to do with this because it has 4 terms. Could you please help?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746512 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746512\">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=f%28x%29=-3x%5E5-x%5E3-4x%5E4-5 ALIGN=MIDDLE  ALT=\"f%28x%29=-3x%5E5-x%5E3-4x%5E4-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the Rational Roots Test to Find All Possible Roots:\r<BR>\n" );
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document.write( "find every combination of ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Fq ALIGN=MIDDLE  ALT=\"p%2Fq\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p ALIGN=MIDDLE  ALT=\"+p\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor of the constant and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor of the leading coefficient\r<BR>\n" );
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document.write( "The constant term of this polynomial is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with factors <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The leading coefficient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with factors <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3 ALIGN=MIDDLE  ALT=\"+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Tests yields the following possible solutions:\r<BR>\n" );
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document.write( "±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ±, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ± <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ± <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "test them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=-3%2A1%5E5-1%5E3-4%2A1%5E4-5=-3-1-4-5=-13 ALIGN=MIDDLE  ALT=\"f%281%29=-3%2A1%5E5-1%5E3-4%2A1%5E4-5=-3-1-4-5=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29=-3%2A%28-1%29%5E5-%28-1%29%5E3-4%2A%28-1%29%5E4-5=3%2B1-4-5=-5 ALIGN=MIDDLE  ALT=\"f%28-1%29=-3%2A%28-1%29%5E5-%28-1%29%5E3-4%2A%28-1%29%5E4-5=3%2B1-4-5=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2F3%29=-3%2A%281%2F3%29%5E5-%281%2F3%29%5E3-4%2A%281%2F3%29%5E4-5=-5.099 ALIGN=MIDDLE  ALT=\"f%281%2F3%29=-3%2A%281%2F3%29%5E5-%281%2F3%29%5E3-4%2A%281%2F3%29%5E4-5=-5.099\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%2F3%29=-3%2A%28-1%2F3%29%5E5-%28-1%2F3%29%5E3-4%2A%28-1%2F3%29%5E4-5=-5 ALIGN=MIDDLE  ALT=\"f%28-1%2F3%29=-3%2A%28-1%2F3%29%5E5-%28-1%2F3%29%5E3-4%2A%28-1%2F3%29%5E4-5=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29=-3%2A%285%29%5E5-%285%29%5E3-4%2A%285%29%5E4-5=-12005 ALIGN=MIDDLE  ALT=\"f%285%29=-3%2A%285%29%5E5-%285%29%5E3-4%2A%285%29%5E4-5=-12005\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-5%29=-3%2A%28-5%29%5E5-%28-5%29%5E3-4%2A%28-5%29%5E4-5=6995 ALIGN=MIDDLE  ALT=\"f%28-5%29=-3%2A%28-5%29%5E5-%28-5%29%5E3-4%2A%28-5%29%5E4-5=6995\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%2F3%29=-3%2A%285%2F3%29%5E5-%285%2F3%29%5E3-4%2A%285%2F3%29%5E4-5=-2135%2F27 ALIGN=MIDDLE  ALT=\"f%285%2F3%29=-3%2A%285%2F3%29%5E5-%285%2F3%29%5E3-4%2A%285%2F3%29%5E4-5=-2135%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-5%2F3%29=-3%2A%28-5%2F3%29%5E5-%28-5%2F3%29%5E3-4%2A%28-5%2F3%29%5E4-5=595%2F81 ALIGN=MIDDLE  ALT=\"f%28-5%2F3%29=-3%2A%28-5%2F3%29%5E5-%28-5%2F3%29%5E3-4%2A%28-5%2F3%29%5E4-5=595%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> does not work\r<BR>\n" );
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document.write( "This polynomial has no rational roots that can be found using Rational Root Test.\r<BR>\n" );
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document.write( "try to find roots using Newton method:\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D+ ALIGN=MIDDLE  ALT=\"x%5Bn%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is an approximation a solution of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8242;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Bn%5D%29%3C%3E0 ALIGN=MIDDLE  ALT=\"%28x%5Bn%5D%29%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the next approximation is given by, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%2B1%5D=x%5Bn%5D-f%28x%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"x%5Bn%2B1%5D=x%5Bn%5D-f%28x%5Bn%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8242;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"%28x%5Bn%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-3x%5E5-x%5E3-4x%5E4-5 ALIGN=MIDDLE  ALT=\"f%28x%29=-3x%5E5-x%5E3-4x%5E4-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29=+-x%5E2+%2815+x%5E2+%2B+16+x+%2B+3%29 ALIGN=MIDDLE  ALT=\"%28x%29=+-x%5E2+%2815+x%5E2+%2B+16+x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%5E5-x%5E3-4x%5E4-5%29%2F%28-x%5E2+%2815+x%5E2+%2B+16+x+%2B+3%29%29=0 ALIGN=MIDDLE  ALT=\"%28-3x%5E5-x%5E3-4x%5E4-5%29%2F%28-x%5E2+%2815+x%5E2+%2B+16+x+%2B+3%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8776; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.46644 ALIGN=MIDDLE  ALT=\"-1.46644\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%5E5-x%5E3-4x%5E4-5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%5E5-x%5E3-4x%5E4-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );