document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420164>Question 420164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5n^2+19n+12<BR>\n" );
document.write( "2v^2+11v+5<BR>\n" );
document.write( "2n^2+5n+2<BR>\n" );
document.write( "m^+2m-24<BR>\n" );
document.write( "x^2-4x+24<BR>\n" );
document.write( "k^2-13k+40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293675 by </B><A HREF=/tutors/aboutme.mpl?userid=dnanos><B>dnanos(83)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dnanos><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=dnanos><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285n%5E2%2B19n%2B12%29 ALIGN=MIDDLE  ALT=\"%285n%5E2%2B19n%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= multiply 5*12=60...Search among the factors of 60 to find two of them having sum 19 ( that is...4*15=60 4+15=19)<BR>\n" );
document.write( "after that we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285n%5E2%2B15n%2B4n%2B12%29 ALIGN=MIDDLE  ALT=\"%285n%5E2%2B15n%2B4n%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285n%28n%2B3%29%2B4%28n%2B3%29%29 ALIGN=MIDDLE  ALT=\"%285n%28n%2B3%29%2B4%28n%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2B3%29%285n%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%2B3%29%285n%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "etc.....<BR>\n" );
document.write( "Same way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2v%5E2%2B11v%2B5+ ALIGN=MIDDLE  ALT=\"2v%5E2%2B11v%2B5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=       We have 2*5=10 1*10=10 1+10=11<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2v%5E2%2Bv%2B10v%2B5 ALIGN=MIDDLE  ALT=\"2v%5E2%2Bv%2B10v%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%282v%2B1%29%2B5%282v%2B1%29 ALIGN=MIDDLE  ALT=\"v%282v%2B1%29%2B5%282v%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282v%2B1%29%28v%2B5%29 ALIGN=MIDDLE  ALT=\"%282v%2B1%29%28v%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "For a better way we use the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2-4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2-4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the general formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if we find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac%290 ALIGN=MIDDLE  ALT=\"b%5E2-4ac%290\"   DISABLED_style= \"max-width:90%; height:auto;\" > then we cannot factorize.<BR>\n" );
document.write( "I.e.the above:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B24 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1,b=-4,c=24<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4%2A1%2A24=%28-4%29%5E2-4%2A24=-80%3C0 ALIGN=MIDDLE  ALT=\"b%5E2-4%2A1%2A24=%28-4%29%5E2-4%2A24=-80%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );