document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768727>Question 768727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution set:<BR>\n" );
document.write( "x^3+x^2-7x-3\r<BR>\n" );
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document.write( "Hint: the possible rational roots are factors of 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468487 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=468487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The request implies the cubic expression is equated to 0.\r<BR>\n" );
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document.write( "Checking the root, -3 with synthetic division, the quotient is x^2-2x-1.  The REAL and rational root is x=-3. \r<BR>\n" );
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document.write( "The synthetic division supporting this is:\r<BR>\n" );
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document.write( "-3___|____1____1____-7____-3<BR>\n" );
document.write( "_____|____ ___-3____6_____3<BR>\n" );
document.write( "_____|______________________<BR>\n" );
document.write( "__________1___-2____-1____0----------see, the remainder is 0.\r<BR>\n" );
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document.write( "If you work further with the resulting quadratic, you'll find the irrational roots <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-sqrt%282%29 ALIGN=MIDDLE  ALT=\"1-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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