document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69626>Question 69626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor by grouping.     6x^3 + 21x^2 – 2x – 7\r<BR>\n" );
document.write( "\n" );
document.write( "I came up with (2x+7)(3x^2-1)\r<BR>\n" );
document.write( "\n" );
document.write( "I hope that someone can tell me if this is correct???? Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49601 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=49601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's check your answer by multiplying your factors together using the FOIL method (first terms, outside terms, inside terms, and last terms)\r<BR>\n" );
document.write( "\n" );
document.write( "Your answer was:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B7%29%2A%283x%5E2-1%29 ALIGN=MIDDLE  ALT=\"%282x%2B7%29%2A%283x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Multiplying the first terms in each factor results in:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2A+3x%5E2+=+%2B6x%5E3 ALIGN=MIDDLE  ALT=\"2x+%2A+3x%5E2+=+%2B6x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying the outside terms in each factor results in:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2A%28-1%29+=+-2x ALIGN=MIDDLE  ALT=\"2x%2A%28-1%29+=+-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying the inside terms in each factor results in:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A3x%5E2+=+%2B21x%5E2 ALIGN=MIDDLE  ALT=\"7%2A3x%5E2+=+%2B21x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And finally, multiplying the last terms in each factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A%28-1%29+=+-7 ALIGN=MIDDLE  ALT=\"7%2A%28-1%29+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Algebraically adding all these terms in descending powers of x results in:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E3+%2B+21x%5E2+-+2x+-+7 ALIGN=MIDDLE  ALT=\"6x%5E3+%2B+21x%5E2+-+2x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "That is exactly the expression you started with.  So your answer is correct.  Excellent job. Keep up the good work!\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );