document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026795>Question 1026795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all values of p such that<BR>\n" );
document.write( "2(x+4)(x-2p)<BR>\n" );
document.write( "has a minimum value of -18. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642096 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=642096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The roots are  x+4 and x-2p.\r<BR>\n" );
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document.write( "Zeros are x=-4 and x=2p.<BR>\n" );
document.write( "The exact middle value between these zeros is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2B2p%29%2F2=p-2 ALIGN=MIDDLE  ALT=\"%28-4%2B2p%29%2F2=p-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Minimum value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B4%29%28x-2p%29=-18 ALIGN=MIDDLE  ALT=\"2%28x%2B4%29%28x-2p%29=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > needs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=p-2 ALIGN=MIDDLE  ALT=\"x=p-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28p-2%2B4%29%28p-2-2p%29=-18 ALIGN=MIDDLE  ALT=\"2%28p-2%2B4%29%28p-2-2p%29=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B2%29%28-p-2%29=-9 ALIGN=MIDDLE  ALT=\"%28p%2B2%29%28-p-2%29=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B2%29%28p%2B2%29=9 ALIGN=MIDDLE  ALT=\"%28p%2B2%29%28p%2B2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2B2=0%2B-+3 ALIGN=MIDDLE  ALT=\"p%2B2=0%2B-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=-2%2B-+3%29 ALIGN=MIDDLE  ALT=\"highlight%28p=-2%2B-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "p=1 or p=-5. </SPAN>\n" );
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