document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45127>Question 45127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me factor and check this trionomial:   2x^2+7x+3= <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29953 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=29953\">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=2x%5E2%2B7x%2B3=%28ax%2Bb%29%28cx%2Bd%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2B7x%2B3=%28ax%2Bb%29%28cx%2Bd%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "looking at the coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left hand side of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=%28ax%29%28bx%29 ALIGN=MIDDLE  ALT=\"2x%5E2=%28ax%29%28bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=abx%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2=abx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac=2 ALIGN=MIDDLE  ALT=\"ac=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >........................(1)<BR>\n" );
document.write( "Now look at the cofactors of x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=adx%2Bbcx ALIGN=MIDDLE  ALT=\"7x=adx%2Bbcx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=ad%2Bbc ALIGN=MIDDLE  ALT=\"7=ad%2Bbc\"   DISABLED_style= \"max-width:90%; height:auto;\" >......................(2)<BR>\n" );
document.write( "Now look at the constant terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=bd ALIGN=MIDDLE  ALT=\"3=bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............................(3)<BR>\n" );
document.write( "Looking at equation (1), since thwe number 2 is a prime number, there are only two numbers that \"a\" and \"c\" could be: 1 and 2.<BR>\n" );
document.write( "Let a=2 and c=1.<BR>\n" );
document.write( "Looking at equation (3), since thwe number 3 is a prime number, there are only two numbers that \"b\" and \"d\" could be: 1 and 3. This time we need to make sure that we get these two numbers the right way round, so we check with equation (2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=2d%2Bb ALIGN=MIDDLE  ALT=\"7=2d%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so if b and d can omly be 1 or 2, the only the above equation works is if b=1 and d=3.<BR>\n" );
document.write( "Put the values of a, b, c and d into the equation at the very top:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B7x%2B3=%282x%2B1%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2B7x%2B3=%282x%2B1%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "Adam<BR>\n" );
document.write( "P.S. please visit my website, I only set it up lastnight and it may be of use to you. The address is htttp://geocities.com/quibowibbler\r<BR>\n" );
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