document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102392>Question 102392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor out the greatest common factor from the polynomial\r<BR>\n" );
document.write( "\n" );
document.write( "21x^3 - 6x^2 + 15x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74487 by </B><A HREF=/tutors/aboutme.mpl?userid=JP><B>JP(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JP><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=JP><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 21x^3-6x^2+15x<BR>\n" );
document.write( "When you look at the polynomial, what is a factor that every term has in common with one another?<BR>\n" );
document.write( "The answer is 3x because, 3x(7x^2-2x+5)<BR>\n" );
document.write( "21x^3 is divided by 3x to get 7x^2<BR>\n" );
document.write( "-6x^2 is divided by 3x to get -2x<BR>\n" );
document.write( "15x is divided by 3x to get 5\r<BR>\n" );
document.write( "\n" );
document.write( "So the GFC(Greatest Common Factor) is 3x\r<BR>\n" );
document.write( "\n" );
document.write( "To check your work multiply 3x by the factored set of terms<BR>\n" );
document.write( "3x(7x^2-2x+5) to get 21x^3-6x^2+15x\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );