document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011575>Question 1011575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^4+2x^3+x^2+8x-12\r<BR>\n" );
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document.write( "I need to find all of the actual zeros of this function, including the complex. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627280 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One can guess, using possible roots of +/-1,+/-2, +/-3, +/-4, +/-6, and +/-12.<BR>\n" );
document.write( "The latter two are unlikely.<BR>\n" );
document.write( "try <BR>\n" );
document.write( "1:1//2//1//8//-12<BR>\n" );
document.write( "=1=3=4=12=/0<BR>\n" );
document.write( "(x-1) is a factor<BR>\n" );
document.write( "What is left is x^3+3x^2+4x+12<BR>\n" );
document.write( "-3:1//3//4//12<BR>\n" );
document.write( "==1/0/4//0<BR>\n" );
document.write( "(x+3) is a factor<BR>\n" );
document.write( "left is x^2+4, which factors into (x+2i) and (x-2i)<BR>\n" );
document.write( "The zeros are 1,-3, +2i,-2i<BR>\n" );
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document.write( " </SPAN>\n" );
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