document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005610>Question 1005610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial with rational coefficients so that P(x)=0 has the given roots: -1 and -2i? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621785 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> roots are -1 and +/- 2i, because complex roots are conjugate.  This is a cubic equation.<BR>\n" );
document.write( "the factors are (x+1) and (x^2+4), since x^2+4=0, and the roots are +/- 2i<BR>\n" );
document.write( "the polynomial is x^3+x^2+4x+4=f(x)<BR>\n" );
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