document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135751>Question 1135751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of three consecutive integers is 21 more than the cube of the smallest integer. The smallest integer is<BR>\n" );
document.write( "-3<BR>\n" );
document.write( "-4<BR>\n" );
document.write( "-5<BR>\n" );
document.write( "-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753407 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The formulation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28x%2B1%29%28x%2B2%29+=+x%5E3%2B21+ ALIGN=MIDDLE  ALT=\"+x%28x%2B1%29%28x%2B2%29+=+x%5E3%2B21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3%2B3x%5E2%2B2x+=+x%5E3%2B21+ ALIGN=MIDDLE  ALT=\"+x%5E3%2B3x%5E2%2B2x+=+x%5E3%2B21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++3x%5E2%2B2x-21+=+0+ ALIGN=MIDDLE  ALT=\"++3x%5E2%2B2x-21+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x-7%29%28x%2B3%29+=+0+ ALIGN=MIDDLE  ALT=\"+%283x-7%29%28x%2B3%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x = -3 and  x = 7/3  are solutions to this equation, but only<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+x+=+-3+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+x+=+-3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an integer solution<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Checked by plugging in x=-3.  \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );