document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068323>Question 1068323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n=;4; <BR>\n" );
document.write( "i and 3i are; zeros; <BR>\n" );
document.write( "f (-1)=20<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 #683550 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=683550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the zeros are i and -i 3i and -3i, because complex roots appear in conjugate pairs.<BR>\n" );
document.write( "(x^2+1) and (x^2+9) will give roots +/- i and 3i respectively.<BR>\n" );
document.write( "the polynomial is a(x^4+10x^2+9)<BR>\n" );
document.write( "f(-1)=20<BR>\n" );
document.write( "a(1+10+9)=20<BR>\n" );
document.write( "so a=1<BR>\n" );
document.write( "x^4+10x^2+9 is polynomial<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-100%2C300%2Cx%5E4%2B10x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-100%2C300%2Cx%5E4%2B10x%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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