document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92878>Question 92878</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>Algebra and Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find all roots of the polynomial x cube-x squared+16x-16. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67582 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=67582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all roots of the polynomial x cube-x squared+16x-16.<BR>\n" );
document.write( "x^3-x^2+16x-16<BR>\n" );
document.write( "Since the coefficients add up to zero x=1 is a root and x-1 is a factor.<BR>\n" );
document.write( "Use synthetic division to find the other factors and roots.<BR>\n" );
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document.write( "1)....1....-1....16....-16<BR>\n" );
document.write( ".......1.....0.....16..|..0\r<BR>\n" );
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document.write( "Remainder is zero because 1 is a root.<BR>\n" );
document.write( "Quotient is x^2+16<BR>\n" );
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document.write( "Factoring x^2+16 you get (x+4i)(x-4i)<BR>\n" );
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document.write( "All the roots are: x=1, x= 4i, x= -4i<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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