document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291699>Question 291699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor: 2p^2-9p+10. Please explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210881 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look for a solution that looks like,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p-a%29%28p-b%29=2p%5E2-9p%2B10 ALIGN=MIDDLE  ALT=\"%282p-a%29%28p-b%29=2p%5E2-9p%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we work out the left hand side using FOIL,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p%5E2-2bp-ap%2Bab=2p%5E2-9p%2B10 ALIGN=MIDDLE  ALT=\"2p%5E2-2bp-ap%2Bab=2p%5E2-9p%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p%5E2-%282b%2Ba%29p%2Bab=2p%5E2-9p%2B10 ALIGN=MIDDLE  ALT=\"2p%5E2-%282b%2Ba%29p%2Bab=2p%5E2-9p%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Compare coefficients of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2 ALIGN=MIDDLE  ALT=\"p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the constant. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p%5E2=2p%5E2 ALIGN=MIDDLE  ALT=\"2p%5E2=2p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > No information.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282b%2Ba%29p=-9p ALIGN=MIDDLE  ALT=\"-%282b%2Ba%29p=-9p\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Ba=9 ALIGN=MIDDLE  ALT=\"2b%2Ba=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=10 ALIGN=MIDDLE  ALT=\"ab=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now look for possible values of a and b that solve both equations. <BR>\n" );
document.write( "a=10, b=1<BR>\n" );
document.write( "a=5, b=2<BR>\n" );
document.write( "a=2, b=5<BR>\n" );
document.write( "a=1, b=10<BR>\n" );
document.write( "Try those until one works. <BR>\n" );
document.write( "All of them solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=10 ALIGN=MIDDLE  ALT=\"ab=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now solve <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Ba=9 ALIGN=MIDDLE  ALT=\"2b%2Ba=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Obviously a or b cannot equal 10 since the left hand side would be greater than the right hand side.<BR>\n" );
document.write( "If we let b=2 and a=5 then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282%29%2B5=4%2B5=9 ALIGN=MIDDLE  ALT=\"2%282%29%2B5=4%2B5=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's the pair. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p-a%29%28p-b%29=2p%5E2-9p%2B10 ALIGN=MIDDLE  ALT=\"%282p-a%29%28p-b%29=2p%5E2-9p%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p-5%29%28p-2%29=2p%5E2-9p%2B10 ALIGN=MIDDLE  ALT=\"%282p-5%29%28p-2%29=2p%5E2-9p%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );