document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475609>Question 475609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the polynomial with integer coefficients that satisfies the given conditions \r<BR>\n" );
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document.write( "Degree of polynomial: 4<BR>\n" );
document.write( "Zeroes: 3 (multiplicity 2), 2-i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326142 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=326142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the polynomial with integer coefficients that satisfies the given conditions <BR>\n" );
document.write( "Degree of polynomial: 4<BR>\n" );
document.write( "Zeros: 3 (multiplicity 2), 2-i<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since the coefficients are Real Numbers, 2+i is also a zero.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Polynomial:<BR>\n" );
document.write( "f(x) = (x+3)^2*((x-2)+i)((x+2)-i)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(x) = (x^2+6x+9)((x-2)^2+1)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(x) = (x^2+6x+9)(x^2-4x+5)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply each term in the 1st factor by each term in the 2nd factor.<BR>\n" );
document.write( "The combine the \"like\" terms.<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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