document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127302>Question 1127302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the polynomial function with integer coefficients that has-2+i and 4i as two of its zeros.\r<BR>\n" );
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document.write( " f(x)=  <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 #743676 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The other two zeros are the conjugates or -2-i and -4i<BR>\n" );
document.write( "The roots are <BR>\n" );
document.write( "x-4i and x-(-4i) or x+4i.  Multiplied together, that is x^2+16<BR>\n" );
document.write( "x-(-2+i), which is x+2-i. And x+2+i<BR>\n" );
document.write( "That product is <BR>\n" );
document.write( "x^2+2x+ix+2x+4+2i-ix-2i+1 (minus i^2)<BR>\n" );
document.write( "x^2+4x+5<BR>\n" );
document.write( "The product of that and x^2+16 is<BR>\n" );
document.write( "x^4+16x^2+4x^3+64x+5x^2+80<BR>\n" );
document.write( "x^4+4x^3+21x^2+64x+80  ANSWER </SPAN>\n" );
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