document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750580>Question 750580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor by grouping, if possible, and check<BR>\n" );
document.write( "w^3 + 7w^2 + 4w + 28\r<BR>\n" );
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document.write( "Factor completely. If a polynomial is prime, state this<BR>\n" );
document.write( "28a^2 - 23a - 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456740 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=456740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E3+%2B+7w%5E2+%2B+4w+%2B+28 ALIGN=MIDDLE  ALT=\"w%5E3+%2B+7w%5E2+%2B+4w+%2B+28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First guess is try to do something with the factors of 7.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E3%2B4w%2B7w%5E2%2B28 ALIGN=MIDDLE  ALT=\"w%5E3%2B4w%2B7w%5E2%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E3%2B4w%2B7%28w%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"w%5E3%2B4w%2B7%28w%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "See some w factors in the other two terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%28w%5E2%2B4%29%2B7%28w%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"w%28w%5E2%2B4%29%2B7%28w%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice two summed expressions each have a factor of w^2+4 distributed.  We can reverse that distribution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%5E2%2B4%29%28w%2B7%29 ALIGN=MIDDLE  ALT=\"%28w%5E2%2B4%29%28w%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And that is the fully factored form.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28w%5E2%2B4%29%28w%2B7%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28w%5E2%2B4%29%28w%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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