document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292944>Question 292944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9x^(2)+4y^(2)\r<BR>\n" );
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document.write( "Factor Completely </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211480 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=211480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This cannot be factored over the rational numbers since we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B4y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B0xy%2B4y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2%2B0xy%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and there are no numbers that both multiply to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A4=36 ALIGN=MIDDLE  ALT=\"9%2A4=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > and add to 0.\r<BR>\n" );
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document.write( "However, this can be factored over the complex numbers to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2yi%29%283x-2yi%29 ALIGN=MIDDLE  ALT=\"%283x%2B2yi%29%283x-2yi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Chances are that you've never seen imaginary numbers, so this means that the answer is simply \"the polynomial is prime\" </SPAN>\n" );
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