document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136890>Question 1136890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Zeros of Functions\r<BR>\n" );
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document.write( "Find an nth degree polynomial function with real coefficients such that:\r<BR>\n" );
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document.write( "n=3<BR>\n" );
document.write( "1 and i are zeros<BR>\n" );
document.write( "f(-1)=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754728 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an nth degree polynomial function with real coefficients such that:\r<BR>\n" );
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document.write( "n=3<BR>\n" );
document.write( "1 and i are zeros<BR>\n" );
document.write( "f(-1)=8<BR>\n" );
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document.write( "Zeroes are 1, i & -i<BR>\n" );
document.write( "--> (x-1)*(x^2 + 1) = x^3 - x^2 + x - 1<BR>\n" );
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document.write( "f(-1) = -1 - 1 - 1 - 1 = -4<BR>\n" );
document.write( "Multiply by -2<BR>\n" );
document.write( "--> f(x) -2x^3 + 2x^2 - 2x + 2<BR>\n" );
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document.write( "f(-1) = 2 + 2 + 2 + 2 = 8<BR>\n" );
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