document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668740>Question 668740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Form a polynomial f(x) with real coefficients having the given degree and zeros.\r<BR>\n" );
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document.write( "Degree 5; Zeros:2; -i; -6+i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415816 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FACT: All imaginary roots come in conjugate pairs.\r<BR>\n" );
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document.write( "So we have 2,-i,i, -6+i, -6-i.\r<BR>\n" );
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document.write( "Then (x-2)[(x+i)(x-i)][(x-(-6+i))(x-(-6-i))] = (x-2)(x^2+1)(x^2+12x+37) = x^5+10x^4+14x^3-64x^2+13x-74 </SPAN>\n" );
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