document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668005>Question 668005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that satisfies the given conditions.<BR>\n" );
document.write( "R has degree 4 and zeros 5 &#8722; 2i and 3, with 3 a zero of multiplicity 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415299 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=415299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that satisfies the given conditions.<BR>\n" );
document.write( "R has degree 4 and zeros 5 &#8722; 2i and 3, with 3 a zero of multiplicity 2.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "R(x) = (x-4)(x-(5-2i))(x-(5+2i))(x-3)^2<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "R(x) = (x-4)((x-5)^2+4)(x-3)^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "R(x) = (x-4)(x^2-10x+29)(x-3)^2<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" );