document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196678>Question 196678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation by finding all zeros: f(x)= x^3-6x^2+4x-24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147409 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=147409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation by finding all zeros: f(x)= x^3-6x^2+4x-24<BR>\n" );
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document.write( "I graphed it and found x=6 is a zero:<BR>\n" );
document.write( "Using synthetic division I get:<BR>\n" );
document.write( "6)....1....-6....4....-24<BR>\n" );
document.write( ".......1.....0.....4...|..0\r<BR>\n" );
document.write( "\n" );
document.write( "Quotient: x^2+4<BR>\n" );
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document.write( "Other Zeros:<BR>\n" );
document.write( "x^2+4 = 0<BR>\n" );
document.write( "(x+2i)(x-2i) = 0<BR>\n" );
document.write( "x = 2i or x = -2i<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Final Answer:<BR>\n" );
document.write( "x = 6 or x = 2i or x = -2i<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );