document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148839>Question 148839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am now stuck on the factoring by group. <BR>\n" );
document.write( "45x^2 + 39x + 6 <BR>\n" );
document.write( "I wish math came easier to me! I think I have some of it just not to sure<BR>\n" );
document.write( "3(15x^2 + 13x + 2) \r<BR>\n" );
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document.write( "Thank you for any help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109182 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am trying to figure out factoring of trinomials. I am sort of lost. <BR>\n" );
document.write( "4s^2 - 21s + 5 <BR>\n" );
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document.write( "It's a trial an error sometimes. IF it's factorable (it's not always), it'll look like<BR>\n" );
document.write( "(js + a)*(ks + b)<BR>\n" );
document.write( "a and b can be positive or negative.<BR>\n" );
document.write( "Most of the problems in school use integers, not fractions, so try those first.<BR>\n" );
document.write( "In this case, the 5 has factors of only 5 and 1, so that narrows it down a lot.<BR>\n" );
document.write( "And, it's a +5, so a and b have to have the same sign.<BR>\n" );
document.write( "Also, note that the middle term is -21, MINUS, so a and b have to be negative.<BR>\n" );
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document.write( "So, there are 6 possibilities:<BR>\n" );
document.write( "(1s-1)*(4s-5)<BR>\n" );
document.write( "(2s-1)*(2s-5)<BR>\n" );
document.write( "(4s-1)*(1s-5)<BR>\n" );
document.write( "The last one works.<BR>\n" );
document.write( "(4s-1)*(s-5) does equal 4s^2 - 21s + 5<BR>\n" );
document.write( "There's another way to do this, by solving the quadratic equation but if you haven't seen that yet it might give you a headache.<BR>\n" );
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