document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742143>Question 742143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the remaining zeros of the following polynomial given that P(i)=0. <BR>\n" );
document.write( "P(x) = x^4 -8x^3 +14x^2 -8x +13<BR>\n" );
document.write( "I know that -i is the conjugate so (x+i)(x-i) = (x^2+1). I am stuck with how to break down the polynomial. Sythetic division leaves a remainer. I also know I need to get this into quadradic from so I can use the formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452275 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find the remaining zeros of the following polynomial given that P(i)=0. <BR>\n" );
document.write( "P(x) = x^4 -8x^3 +14x^2 -8x +13<BR>\n" );
document.write( "I know that -i is the conjugate so (x+i)(x-i) = (x^2+1). I am stuck with how to break down the polynomial.<BR>\n" );
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document.write( "The problem is that \"i\" is not a root of P(x).  You can see that<BR>\n" );
document.write( "if you substitute \"i\" for \"x\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );