document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49125>Question 49125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use synthetic division to find the value of f(-2) for f(x)=x exponent 3 -3x exponent 2 -x-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32554 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=32554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use synthetic division to find the value of f(-2) for f(x)=x exponent 3 -3x exponent 2 -x-9<BR>\n" );
document.write( "f(x)=x^3-3x^2-x-9<BR>\n" );
document.write( "f(-2) is the remainder when f(x) is divided by x+2...hence....<BR>\n" );
document.write( "   ---------------------------<BR>\n" );
document.write( "x+2)x^3-3x^2-x-9(x^2-5x+9<BR>\n" );
document.write( "    x^3+2x^2<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "       -5x^2-x <BR>\n" );
document.write( "       -5x^2-10x<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "            9x-9<BR>\n" );
document.write( "            9x+18<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "             -27 remainder = f(-2)<BR>\n" );
document.write( "simpler division<BR>\n" );
document.write( "-2|1-3-1-9<BR>\n" );
document.write( "..|0-2+10-18<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "...1-5+9-27<BR>\n" );
document.write( "remainder =-27<BR>\n" );
document.write( "quotient=x^2-5x+9<BR>\n" );
document.write( "check<BR>\n" );
document.write( "f(-2)=-8-3*4-(-2)-9=-8-12+2-9=-27 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );