document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121240>Question 1121240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find a polynomial function with rational coefficients so that p(x)=0 has the given roots 2+i and 1-sqrt5\r<BR>\n" );
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document.write( "I tried (x-(2+i))(x-(2-i))(x-(1-sqrt5))(x-(1+sqrt5)) and got x^4-6x^3+9x^2+6x-20, which does not seem to include 2+i as a root. Am I doing it right?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737036 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "This step\r<BR>\n" );
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document.write( "(x-(2+i))(x-(2-i))(x-(1-sqrt5))(x-(1+sqrt5))\r<BR>\n" );
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document.write( "was absolutely correct.\r<BR>\n" );
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document.write( "I did not check yours further expression, since it is just a technique you must do on your own.\r<BR>\n" );
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