document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962437>Question 962437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial f(x) of degree 3 with real coefficients and the following zeros -4,1-i<BR>\n" );
document.write( "f(x)=   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588054 by </B><A HREF=/tutors/aboutme.mpl?userid=hkwu><B>hkwu(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hkwu><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=hkwu><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=588054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By the Conjugate Roots Theorem, if f(x) has real coefficients and has a complex root, then the conjugate of that complex root is also a root of f(x). Thus we immediately get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%28x-%281-i%29%29%28x-%281%2Bi%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%28x-%281-i%29%29%28x-%281%2Bi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%28x-1%2Bi%29%28x-1-i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%28x-1%2Bi%29%28x-1-i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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