document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434938>Question 434938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can i find the third-degree polynomial equation with rational coefficients that have the given number of roots of 3,2-i? Please and thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301149 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=301149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How can i find the third-degree polynomial equation with rational coefficients that have the given number of roots of 3,2-i? <BR>\n" );
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document.write( "If the coefficients are rational, 2+i must also be a root.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "f(x) = (x-3)(x-(2-i))(x-(2+i))<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "f(x) = (x-3)((x-2)+i)((x-2)-i)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "f(x) = (x-3)((x-2)^2+1)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(x) = (x-3)(x^2-4x+5)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(x) = x^3-4x^2+5x-3x^2+12x-15<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(x) = x^3-7x^2+17x-15<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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