document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65545>Question 65545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was told to find all roots of the polynomial x^3-x^2+16x-16.\r<BR>\n" );
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document.write( "Is it 1,4,-4?  -1,4,-4? or do I add an \"i\" in any of them? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46097 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=46097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I was told to find all roots of the polynomial x^3-x^2+16x-16.<BR>\n" );
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document.write( "The coefficients add up to zero, so x=1 is a root.<BR>\n" );
document.write( "Then using synthetic division you find:<BR>\n" );
document.write( "1)....1....-1....16....-16<BR>\n" );
document.write( ".......1.....0.....16.| 0<BR>\n" );
document.write( "Quotient: x^2+16<BR>\n" );
document.write( "Remainder: 0<BR>\n" );
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document.write( "Now you knowf(x)=(x-1)(x^2+16)<BR>\n" );
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document.write( "But x^2+16 = (x+4i)(x-4i)<BR>\n" );
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document.write( "So the final answer is <BR>\n" );
document.write( "f(x)=(x-1)(x-4i)(x+4i)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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