document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260329>Question 260329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to factor Trinomials of the form ax^2+bx+c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191759 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=191759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To factor trinomials of this form:<BR>\n" );
document.write( "step 1 - factor out the a from the first two terms to get<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2+%2B+%28b%2Fa%29x%29+%2B+c ALIGN=MIDDLE  ALT=\"a%28x%5E2+%2B+%28b%2Fa%29x%29+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - take 1/2 of the middle term and square it. We get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2+%2B+%28b%2Fa%29x+%2B+%28b%2F2a%29%5E2%29+%2B+c ALIGN=MIDDLE  ALT=\"a%28x%5E2+%2B+%28b%2Fa%29x+%2B+%28b%2F2a%29%5E2%29+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - place a blank slot after c and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2+%2B+%28b%2Fa%29x+%2B+%28b%2F2a%29%5E2%29+%2B+c+-+_____+ ALIGN=MIDDLE  ALT=\"a%28x%5E2+%2B+%28b%2Fa%29x+%2B+%28b%2F2a%29%5E2%29+%2B+c+-+_____+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this blank slot is waiting for a number.<BR>\n" );
document.write( "step 4 - multiply (b/2a)^2 by a and put that answer in the blank slot to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2+%2B+%28b%2Fa%29x+%2B+%28b%2F2a%29%5E2%29+%2B+c+-+b%5E2%2F%284a%29 ALIGN=MIDDLE  ALT=\"a%28x%5E2+%2B+%28b%2Fa%29x+%2B+%28b%2F2a%29%5E2%29+%2B+c+-+b%5E2%2F%284a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 5 rewrite the trinomial as a binomial squared as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2B%28b%2F%282a%29%29%29%5E2+%2B+%284ac-b%5E2%29%2F%284a%29 ALIGN=MIDDLE  ALT=\"a%28x%2B%28b%2F%282a%29%29%29%5E2+%2B+%284ac-b%5E2%29%2F%284a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we have our factored form for x. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );