document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75208>Question 75208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> polynomials- find the greatest common factor of the polynomial<BR>\n" );
document.write( "           15x+45x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54003 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=54003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the greatest common factor between 2 numbers, we need to look for a number that can go into both 15 and 45. These numbers are:<BR>\n" );
document.write( "1,3,5,15<BR>\n" );
document.write( "Since 15 is the greatest of the list, it is the GCF. But we aren't done yet. There 's still an x term to be factored. The same idea applies as well. What factors do x and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > share. They share a common term of x (they both have a term of x in them). So the GCF is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "15x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I can then factor out the GCF to get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%281%2B3x%29 ALIGN=MIDDLE  ALT=\"15x%281%2B3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "which is perfectly valid, since I can distribute to get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2B45x%5E2 ALIGN=MIDDLE  ALT=\"15x%2B45x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );