document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697552>Question 697552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation that has zeros at 4 and 2+5i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430166 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">      what is the equation that has zeros at 4 and 2+5i<BR>\n" );
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document.write( "Based on the zeros, factors must be:<BR>\n" );
document.write( "(x-4)(x+2+5i)(x+2-5i)<BR>\n" );
document.write( "just multiply the above together to get your equation:<BR>\n" );
document.write( "(x-4)(x(x+2-5i)+2(x+2-5i)+5i(x+2-5i))<BR>\n" );
document.write( "(x-4)(x^2+2x-5xi+2x+4-10i+5xi+10i-25)<BR>\n" );
document.write( "(x-4)(x^2+4x-5xi+4-10i+5xi+10i-25)<BR>\n" );
document.write( "(x-4)(x^2+4x+4-10i+10i-25)<BR>\n" );
document.write( "(x-4)(x^2+4x+4-25)<BR>\n" );
document.write( "(x-4)(x^2+4x-21)<BR>\n" );
document.write( "x^2(x-4)+4x(x-4)-21(x-4)<BR>\n" );
document.write( "x^3-4x^2+4x^2-16x-21x+84<BR>\n" );
document.write( "x^3-16x-21x+84<BR>\n" );
document.write( "x^3-37x+84\r<BR>\n" );
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