document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964458>Question 964458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the complex zeros of the polynomial function f(x)=x^4+23x^2+22<BR>\n" );
document.write( "write f in factored form   f(x)=<BR>\n" );
document.write( "please show step by step work i am very confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589347 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = x^4 +23x^2 +22<BR>\n" );
document.write( "first write down the factors of 22, they are<BR>\n" );
document.write( "1, 22<BR>\n" );
document.write( "2, 11<BR>\n" );
document.write( "now 1 and 22 look promising since the coefficient of x^2 is 23<BR>\n" );
document.write( "let's try<BR>\n" );
document.write( "(x^2 +1) * (x^2 +22) = x^4 +23x^2 + 22<BR>\n" );
document.write( "we can now write the solutions for x as<BR>\n" );
document.write( "x^2 = -1<BR>\n" );
document.write( "x = sqrt(-1) = i<BR>\n" );
document.write( "x^2 = -22<BR>\n" );
document.write( "x = sqrt(-22) = i*sqrt(22)<BR>\n" );
document.write( "therefore our 2 solutions for x are<BR>\n" );
document.write( "x = i and x = i*sqrt(22)<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );