document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183633>Question 1183633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The curves y = 2x^3 and y = (2-x)(5x+6) intersect in 3 points. Find the x-coordinates of these points. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814036 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=814036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "No; they do not intersect in three points....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3=%282-x%29%285x%2B6%29 ALIGN=MIDDLE  ALT=\"2x%5E3=%282-x%29%285x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3%2B5x%5E2-4x-12=0 ALIGN=MIDDLE  ALT=\"2x%5E3%2B5x%5E2-4x-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The rational roots theorem and synthetic division then show<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3%2B5x%5E2-4x-12=%282x-3%29%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"2x%5E3%2B5x%5E2-4x-12=%282x-3%29%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The graphs intersect at TWO points, with x coordinates -2 and 3/2.<br><BR>\n" );
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