document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61126>Question 61126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the complex zeros of the polynomilal function:<BR>\n" );
document.write( "f(x)=x^4-8x^3+16x^2+8x-17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42055 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=42055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^4-8x^3+16x^2+8x-17<BR>\n" );
document.write( "Since the coefficients add to zero, x=1 is a zero.<BR>\n" );
document.write( "Use synthetic division to find the other factor which<BR>\n" );
document.write( "is x^3-7x^2+9x+17<BR>\n" );
document.write( "x=-1 is a zero of this cubic leaving a factor of \r<BR>\n" );
document.write( "\n" );
document.write( "x^2-8x+17<BR>\n" );
document.write( "Then, using the quadratic formula you get:<BR>\n" );
document.write( "x=[8+-sqrt(8^2-4*17)]/2<BR>\n" );
document.write( "x=[8+-sqrt(-4)]/2\r<BR>\n" );
document.write( "\n" );
document.write( "x=[-4+-i]<BR>\n" );
document.write( "Zeroes are : x=1, x=-1, x=-4+i, x=-4-i<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );