document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250770>Question 250770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you simplify (xsquared-x+3)/(xcubed+6xsqaured+11x+6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182633 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=182633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do you simplify (xsquared-x+3)/(xcubed+6xsqaured+11x+6)<BR>\n" );
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document.write( "(x^2-x+3)/(x^3+6x^2+11x+6)<BR>\n" );
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document.write( "Use synthetic division to factor the denominator:<BR>\n" );
document.write( "-1)....1....6....11....6<BR>\n" );
document.write( "........1....5.....6....|..0\r<BR>\n" );
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document.write( "The denominator factors as:<BR>\n" );
document.write( "(x+1)(x^2+5x+6)<BR>\n" );
document.write( "Or<BR>\n" );
document.write( "(x+1)(x+2)(x+3)<BR>\n" );
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document.write( "But there are no factors common to numerator and denominator,so<BR>\n" );
document.write( "the problem does not simplify.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );