document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132448>Question 1132448</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( "A) -3<BR>\n" );
document.write( "B) -4<BR>\n" );
document.write( "C) -5<BR>\n" );
document.write( "D) -6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749473 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let the three integers be x, x+1, and x+2.  Then<br><BR>\n" );
document.write( "the product of the three integers is x(x+1)(x+2) = x(x^2+3x+2) = x^3+3x^2+2x; and<BR>\n" );
document.write( "the cube of the smallest integer is x^3.<br><BR>\n" );
document.write( "The problem says the product of the 3 is 21 more than the cube of the smallest:<br><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><BR>\n" );
document.write( "The x^3 terms cancel, leaving a quadratic equation which is easily solved by any of a number of different methods.<br><BR>\n" );
document.write( "Of course, if an algebraic solution is not required, the answer is easily found by trying the given answer choices.... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );