document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912345>Question 912345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factoring second polynomials <BR>\n" );
document.write( "7pē+18p=9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553736 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=553736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You just need to try all the combinations (until or unless you know another way).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7p%5E2%2B18p-9=0 ALIGN=MIDDLE  ALT=\"7p%5E2%2B18p-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Try these:\r<BR>\n" );
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document.write( "(7p+u)(p+v) and you must have 7pv+up=(7v+u)p=18p and u*v=9.<BR>\n" );
document.write( "Pick your possible combinations u and v for the product 9.<BR>\n" );
document.write( "You have 1 and 9<BR>\n" );
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document.write( "you have 3 and 3.<BR>\n" );
document.write( "You must expect one of the numbers positive and one of them negative.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287p%2B-+1%29%28p%2B-+9%29 ALIGN=MIDDLE  ALT=\"%287p%2B-+1%29%28p%2B-+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, check this.\r<BR>\n" );
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document.write( "OR \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287p%2B-+3%29%28p%2B-+3%29 ALIGN=MIDDLE  ALT=\"%287p%2B-+3%29%28p%2B-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, check this.\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287p%2B-+9%29%28p%2B-+1%29 ALIGN=MIDDLE  ALT=\"%287p%2B-+9%29%28p%2B-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, check this.\r<BR>\n" );
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document.write( "Which combination (including signs) works?\r<BR>\n" );
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document.write( "(Note that the rendering is working but is difficult to read).\r<BR>\n" );
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document.write( "ANSWER:   (7p-3)(p+3) </SPAN>\n" );
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