document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207697>Question 207697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to factor trinomials completely without a book. Can you please help me? here is my problem.<BR>\n" );
document.write( "t^2+6t+9=(?)^? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157103 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=157103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t^2+6t+9<BR>\n" );
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document.write( "Think of two numbers whose product is 9 and whose sum is 6.<BR>\n" );
document.write( "The numbers are 3 and 3.<BR>\n" );
document.write( "Replace the 6t by 3t + 3t to get:<BR>\n" );
document.write( "t^2 + 3t + 3t + 9<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Factor the 1st two and the last two terms separately:<BR>\n" );
document.write( "t(t+3) + 3(t+3)<BR>\n" );
document.write( "Factor again to get the final answer:<BR>\n" );
document.write( "(t+3)(t+3)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );