document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324837>Question 324837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor the polynomial completely.\r<BR>\n" );
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document.write( "9x^2 + 4y^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232563 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=232563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you have a sum of two squares (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+4y%5E2=%283x%29%5E2%2B%282y%29%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+4y%5E2=%283x%29%5E2%2B%282y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >), this means that you cannot factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+4y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > over the rational numbers (if it were a difference of squares, it would be a different story).\r<BR>\n" );
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document.write( "However, if you want to factor over the complex numbers, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+4y%5E2=%283x%2B2yi%29%283x-2yi%29 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+4y%5E2=%283x%2B2yi%29%283x-2yi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However, chances are that you aren't studying complex numbers. \r<BR>\n" );
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document.write( "If this is the case, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+4y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > can't be factored and it is prime. </SPAN>\n" );
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