document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052703>Question 1052703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help finding the polynomial with the given zeros of 0, 8, and 1+sqrt2i with real coefficients please! I've tried and so far all I've gotten is x^2-8x-x+sqrt2i+8+sqrt2i\r<BR>\n" );
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document.write( "Any help is appreciated, thanks!<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 #668033 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=668033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I need help finding the polynomial with the given zeros of 0, 8, and 1+sqrt2i with real coefficients please! I've tried and so far all I've gotten is x^2-8x-x+sqrt2i+8+sqrt2i <BR>\n" );
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document.write( "If the coefficients are to be Real, 1-sqrt(2)i must also be a zero<BR>\n" );
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document.write( "Zeroes:: 0, 8, 1+sqrt(2)i, 1-sqrt(2)i<BR>\n" );
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document.write( "f(x) = x(x-8)(x-(1+sqrt(2)i)(x-(1-sqrt(2)i)<BR>\n" );
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document.write( "f(x) = x(x-8)((x-1)-sqrt(2)i)((x-1)+sqrt(2)i)<BR>\n" );
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document.write( "f(x) = x(x-8)((x-1)^2 +2)<BR>\n" );
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document.write( "f(x) = x(x-8)(x^2 -2x + 3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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