document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116118>Question 116118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please explain in detail how this problem is factored?<BR>\n" );
document.write( "The direction say to factor completely.<BR>\n" );
document.write( "24x^2 + 10x &#8211; 4<BR>\n" );
document.write( "Thank you, all help is greatly appreciated.<BR>\n" );
document.write( "Patti </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84417 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 is a common factor for all the terms, so that is factored out first\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2(12x^2+5x-2) ___ now it gets interesting\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the factors of \"a\" (12) have to combine (multiply and add) with the factors of \"c\" (-2) to get \"b\" (5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "factors can be positive or negative<BR>\n" );
document.write( "factors of \"a\" are 1 & 12; 2 & 6; 3 & 4 ___ either both positive or both negative<BR>\n" );
document.write( "factors of \"c\" are 1 & 2 ___ one is positive, the other is negative\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2 times 4 is 8; -1 times 3 is -3; 8 plus -3 is 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2(4x-1)(3x+2)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );