document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032204>Question 1032204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function P(x) with rational coefficients so that P(x)=0 has the given roots. <BR>\n" );
document.write( "1. -6,3, and -15i<BR>\n" );
document.write( "2. 4+&#8730;5 and 8i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646860 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=646860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function P(x) with rational coefficients so that P(x)=0 has the given roots. <BR>\n" );
document.write( "1. -6,3, and -15i ; add 15i to the lineup<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "P(x) = a(x+6)(x-3)(x+15i)(x-15i)<BR>\n" );
document.write( "= a(x+6)(x-3)(x^2+226)<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "2. 4+&#8730;5 and 8i ; add 4-sqrt(t) and -8i to the lineup<BR>\n" );
document.write( "P(x) = a(x-4-sqrt(5))(x-4+sqrt(5)(x-8i)(x+8i)<BR>\n" );
document.write( "= a((x-4)^2-5)(x^2+64)<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------------------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );