document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13218>Question 13218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I've just got a few questions about how to factor polynomials completely. <BR>\n" );
document.write( " I'm wondering if you could help me solve the following questions, explaining each step as you go.  7x*2+14x-21 and 10x*2y+8xy*2+6xy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6621 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=6621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Factor:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2%2B14x-21 ALIGN=MIDDLE  ALT=\"7x%5E2%2B14x-21\"   DISABLED_style= \"max-width:90%; height:auto;\" > First, factor a 7.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x%5E2%2B2x-3%29 ALIGN=MIDDLE  ALT=\"7%28x%5E2%2B2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor the parentheses.<BR>\n" );
document.write( "Look for two integers whose product is -3 and whose sum is 2.\r<BR>\n" );
document.write( "\n" );
document.write( "Try 1 X (-3) = -3 and 1 + (-3) = -2 No, this won't do it.<BR>\n" );
document.write( "Try -1 X 3 = -3 and -1 + 3 = 2 Aha!\r<BR>\n" );
document.write( "\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-3+=+%28x-1%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-3+=+%28x-1%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Putting it all together, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2%2B14x-21+=+7%28x-1%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"7x%5E2%2B14x-21+=+7%28x-1%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "2) Factor:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2y%2B8xy%5E2%2B6xy ALIGN=MIDDLE  ALT=\"10x%5E2y%2B8xy%5E2%2B6xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the common factor in each term, 2xy.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy%285x%2B4y%2B3%29 ALIGN=MIDDLE  ALT=\"2xy%285x%2B4y%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I think that's as far as you can go with this.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );