document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=678474>Question 678474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function of lowest degree with integer coefficients that has the given zeros.<BR>\n" );
document.write( "2, 2i, &#8722;2i<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #421450 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=421450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a polynomial has a zero then the polynomial has a factor of the form:<BR>\n" );
document.write( "(x - z)<BR>\n" );
document.write( "where \"z\" is the zero.<br><BR>\n" );
document.write( "Your polynomial, with zeros of 2, 2i and -2i, will have factor of:<BR>\n" );
document.write( "(x - 2)(x - 2i)(x - (-2i))<BR>\n" );
document.write( "The third factor simplifies to:<BR>\n" );
document.write( "(x - 2)(x - 2i)(x + 2i)<br><BR>\n" );
document.write( "All you have to do now is multiply. I suggest that you start by multiplying the last two factors first. (Hint: the i's will disappear!)<BR>\n" );
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