document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148757>Question 148757</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0536913331/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I factor this trinomoial:\r<BR>\n" );
document.write( "\n" );
document.write( "5x^2+16x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109094 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=109094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor this trinomial: <BR>\n" );
document.write( "5x^2+16x+3<BR>\n" );
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document.write( "Using the AC Method of Factoring:<BR>\n" );
document.write( "Find two numbers whose product is 3*5 = 15<BR>\n" );
document.write( "and whose sum is 16:<BR>\n" );
document.write( "The numbers are 15 and 1<BR>\n" );
document.write( "Rewrite the problem as follows:<BR>\n" );
document.write( "5x^2+15x+x+3<BR>\n" );
document.write( "Factor the 1st two and the last two terms seperately:<BR>\n" );
document.write( "5x(x+3) + (x+3)<BR>\n" );
document.write( "Factor again:<BR>\n" );
document.write( "(x+3)(5x+1)<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );