document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104049>Question 104049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> New Problem, Factor: \r<BR>\n" );
document.write( "\n" );
document.write( "- t2 + 4 t - 3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75719 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=75719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Normal style of factoring would take many trials and errors, so I prefer this method:\r<BR>\n" );
document.write( "\n" );
document.write( "To factor any trinomial <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;\" >,\r<BR>\n" );
document.write( "\n" );
document.write( "Solve for x as if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and consequently you may opt to use the QUADRATIC FORMULA!!!\r<BR>\n" );
document.write( "\n" );
document.write( "There you would find two roots: say y and z\r<BR>\n" );
document.write( "\n" );
document.write( "Then,\r<BR>\n" );
document.write( "\n" );
document.write( "x=y  or  x=z\r<BR>\n" );
document.write( "\n" );
document.write( "x-y=0 or x-z=0\r<BR>\n" );
document.write( "\n" );
document.write( "Here, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y ALIGN=MIDDLE  ALT=\"x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-z ALIGN=MIDDLE  ALT=\"x-z\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the factors.\r<BR>\n" );
document.write( "\n" );
document.write( "NOTE: <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;\" > is considered PRIME or not factorable if y and/or z are irrational or imaginary.\r<BR>\n" );
document.write( "\n" );
document.write( "Back to the problem of yours,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-t%5E2%2B4t-3 ALIGN=MIDDLE  ALT=\"-t%5E2%2B4t-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If we let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-t%5E2%2B4t-3=0 ALIGN=MIDDLE  ALT=\"-t%5E2%2B4t-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
document.write( "\n" );
document.write( "Then,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1+or+t=3 ALIGN=MIDDLE  ALT=\"t=1+or+t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-1=0 ALIGN=MIDDLE  ALT=\"t-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-3=0 ALIGN=MIDDLE  ALT=\"t-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-t%5E2%2B4t-3=%28t-1%29%2A%28t-3%29 ALIGN=MIDDLE  ALT=\"-t%5E2%2B4t-3=%28t-1%29%2A%28t-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );