document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144068>Question 144068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the range for P(x) = x^2 + 5x + 6 < 0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104852 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + 5x + 6 < 0<BR>\n" );
document.write( "(x+3)(x+2)=0 make an equality to begin.<BR>\n" );
document.write( "x=-3, x=-2<BR>\n" );
document.write( "Now graph x^2 + 5x + 6 (see below)<BR>\n" );
document.write( "The minimum of the graph occurs when x=-2.5<BR>\n" );
document.write( "(-2.5)^2+5*-2.5+6<BR>\n" );
document.write( "=6.25-12.5+6<BR>\n" );
document.write( "=-.25<BR>\n" );
document.write( "The range is 0>y>=-.25<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B5x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B5x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );