document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180905>Question 180905</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Explain how to reverse FOIL when factoring a polynomial of the form<BR>\n" );
document.write( "ax+bx+c when a=1. Give an example with your explanation.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank You<BR>\n" );
document.write( "Denise </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135635 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=135635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok a is given in our scenario<BR>\n" );
document.write( ":<BR>\n" );
document.write( "F is made up of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%29 ALIGN=MIDDLE  ALT=\"highlight%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >x multiplied by itself.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28O%2CI%29 ALIGN=MIDDLE  ALT=\"system%28O%2CI%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >is made up of factors of c multiplied by 1x and combined<BR>\n" );
document.write( ":<BR>\n" );
document.write( "L is factors of c multiplied together<BR>\n" );
document.write( ":<BR>\n" );
document.write( "for example<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%5E2%2B5x%2B6 ALIGN=MIDDLE  ALT=\"1x%5E2%2B5x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "F=1x*1x<BR>\n" );
document.write( "O=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282+or+3%29%2Ax ALIGN=MIDDLE  ALT=\"highlight%282+or+3%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283+or+2%29%2Ax ALIGN=MIDDLE  ALT=\"highlight%283+or+2%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29%2Ahighlight%283%29 ALIGN=MIDDLE  ALT=\"highlight%282%29%2Ahighlight%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "meaning when you reverse FOIL that the first part of factors making up a polynomial of the type <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"1x%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 1x and the last part of the factors comes from factors of c, which when combined with x make up the coefficient of b.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "hence the factors are (x+2)(x+3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );