document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82359>Question 82359</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130584150/algebrahomeworkh>algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the polynominial X^3+6x^2+11x+6<BR>\n" );
document.write( "has the factorization over the integers<BR>\n" );
document.write( "(x+a)(x+b) (x+c) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59000 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=59000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X^3+6x^2+11x+6<BR>\n" );
document.write( "has the factorization over the integers<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Using synthetic division:<BR>\n" );
document.write( "-1....1....6....11....6<BR>\n" );
document.write( "........1....5.....6..|..0<BR>\n" );
document.write( "This shows that when you divide x^3+6x^2+11x+6 by (x+1)<BR>\n" );
document.write( "the Quotient is x^2+5x+6 and the Remainder =0<BR>\n" );
document.write( "Then the Quotient is factorable into (x+3)(x+2)<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "So the polynomial factors into (x=1)(x+2)(x+3)<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );