document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705365>Question 705365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a fourth-degree function with the zeros 1,-1, i and -i.  Write the function in factored form. \r<BR>\n" );
document.write( "\n" );
document.write( "Please show all your steps. Thank you in advance.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434536 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=434536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = i or x = -i\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 = i^2 or x^2 = (-i)^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 = i^2 or x^2 = i^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 = i^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 = -1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 1 is a factor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1 is a root, so x-1 is a factor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-1 is a root, so x+1 is a factor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Factors: x-1, x+1, x^2+1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Complete factorization: (x-1)(x+1)(x^2+1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );