document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964445>Question 964445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.<BR>\n" );
document.write( "Degree;3  Zeros; -2,-5,-i\r<BR>\n" );
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document.write( "What are the remaining zeros of f? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589479 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not a possible polynomial. <BR>\n" );
document.write( "It has degree three which means it has 3 roots. <BR>\n" );
document.write( "Two roots are real. <BR>\n" );
document.write( "One root is complex but it has real coefficients.<BR>\n" );
document.write( "A polynomial with real coefficients must have complex roots in complex conjugate pairs or else the coefficients will be complex. <BR>\n" );
document.write( "So something is wrong with the problem setup? <BR>\n" );
document.write( "If the degree was 4, you could add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=i ALIGN=MIDDLE  ALT=\"x=i\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the complex conjugate root. <BR>\n" );
document.write( "Check the problem setup and repost if needed.\r<BR>\n" );
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