document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93876>Question 93876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need to state the roots and completely factor the following:\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)= x^5+x^4-9x^3-5x^2-36<BR>\n" );
document.write( "OMG - HELP<BR>\n" );
document.write( "Thanks<BR>\n" );
document.write( "LLo<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68391 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=68391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Need to state the roots and completely factor the following: <BR>\n" );
document.write( "f(x)= x^5+x^4-9x^3-5x^2-36<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "I graphed it and found roots at x=-3,x=-2,x=3<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Then using synthetic division to find the remaining factors I got:<BR>\n" );
document.write( "-3)....1....1....-9....-5....0....-36<BR>\n" );
document.write( ".........1...-2....-3....4....-12...|..0<BR>\n" );
document.write( "-2).......1....-4....5....-6..|..0<BR>\n" );
document.write( "3)..........1....-1...2...|..0\r<BR>\n" );
document.write( "\n" );
document.write( "================================<BR>\n" );
document.write( "So the remaining quadratic factor is x^2-x+2<BR>\n" );
document.write( "Using the quadratic formuls I get:<BR>\n" );
document.write( "x = [1+-sqrt(1-8)]/2<BR>\n" );
document.write( "x = [1+-isqrt7]/2<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "So all the roots are x=-3, x=-2, x=3, x= (1+isqrt7)/2, x= (1-isqrt7)/2<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "All the factors are (x+3),(x+2), (x-3),(x-(1+isqrt7)/2), (x-(1+isqrt7)/2)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );