document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010923>Question 1010923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function with rational coefficients in standard form with the given zeros sqrt2 4i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626506 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=626506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function with rational coefficients in standard form with the given zeros sqrt(2) 4i <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "If the coefficients are rational, -sqrt(2) and -4i are also zeroes.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "f(x) = (x-sqrt(2))(x+sqrt(2))(x-4i)(x+4i)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "f(x) = (x^2-2)(x^2+16)<BR>\n" );
document.write( "f(x) = x^4 + 14x^2 - 32<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );