document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037661>Question 1037661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions of the equation. <BR>\n" );
document.write( "7x^3-x+1=x^3+3x^2+x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652393 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=652393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify and use Rational Roots Theorem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E3-3x%5E2-2x%2B1=0 ALIGN=MIDDLE  ALT=\"6x%5E3-3x%5E2-2x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "List of roots to check are pos and neg  1/6, 1/2, 1/3, 1.  You use synthetic division for these checks.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is one of the roots, meaning a binomial factor is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%2F2%29 ALIGN=MIDDLE  ALT=\"%28x-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This leaves a quadratic factor still to analyze, so you could apply general solution formula for quadratic equation. </SPAN>\n" );
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