document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142425>Question 1142425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Form a polynomial f(x) with real coefficients having the given degree and zeors.<BR>\n" );
document.write( "Degree 5; zeros: 1,-i,9+i\r<BR>\n" );
document.write( "\n" );
document.write( "Find the remaining zeros of F:<BR>\n" );
document.write( "Degree 6; Zeros: -6,2+i,7-i,6\r<BR>\n" );
document.write( "\n" );
document.write( "Use complex zeros to factor F of the polynomial function f(x)=x^4+10x^2+9<BR>\n" );
document.write( "zeros: x=i, -i, 3i, -3i<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763145 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20054)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Form a polynomial f(x) with real coefficients having the given degree and zeors.<BR>\n" );
document.write( "Degree 5; zeros: 1,-i,9+i \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22f%28x%29%22+=+%28x%5E%22%22-1%29%28x%5E%22%22-i%29%28x%5E%22%22%2Bi%29%28x%5E%22%22-%289%2Bi%29%29%28x%5E%22%22-%289-i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply that all out (big job!).  You'll get this:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22f%28x%29%22=x%5E5+-+19x%5E4+%2B+101x%5E3+-+101x%5E2+%2B+100x+-+82 ALIGN=MIDDLE  ALT=\"%22f%28x%29%22=x%5E5+-+19x%5E4+%2B+101x%5E3+-+101x%5E2+%2B+100x+-+82\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Edwin</pre>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );