document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687037>Question 687037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can I factor by grouping this problem.<BR>\n" );
document.write( "3a3+2a2+6a+4= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425022 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To factor by grouping, you want to find similar terms.  With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%5E3%2B2a%5E2%2B6a%2B4 ALIGN=MIDDLE  ALT=\"3a%5E3%2B2a%5E2%2B6a%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the easiest way to group is by looking at the numbers in front of the variables and seeing if any of the numbers are factors of each other.  3 and 6 are factors of 6, and 2 and 4 are factors of 4.  So, let's try grouping 3a^3 and 6a together, and 2a^2 and 4 together:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%5E3%2B6a%29%2B%282a%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"%283a%5E3%2B6a%29%2B%282a%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the first set of parenthesis, we can factor out 3a:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%28a%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"3a%28a%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the second set of parenthesis, we can factor out a 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28a%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"2%28a%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Putting these both together, results in:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%28a%5E2%2B2%29%2B2%28a%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"3a%28a%5E2%2B2%29%2B2%28a%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As you can see, there are two sets of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can group these together, and then, in another set of parenthesis, group the remaining terms together:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%2B2%29%28a%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"%283a%2B2%29%28a%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is our final answer </SPAN>\n" );
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