Question 49125
use synthetic division to find the value of f(-2) for f(x)=x exponent 3 -3x exponent 2 -x-9
f(x)=x^3-3x^2-x-9
f(-2) is the remainder when f(x) is divided by x+2...hence....
   ---------------------------
x+2)x^3-3x^2-x-9(x^2-5x+9
    x^3+2x^2
---------------
       -5x^2-x 
       -5x^2-10x
--------------------
            9x-9
            9x+18
----------------------
             -27 remainder = f(-2)
simpler division
-2|1-3-1-9
..|0-2+10-18
-----------------
...1-5+9-27
remainder =-27
quotient=x^2-5x+9
check
f(-2)=-8-3*4-(-2)-9=-8-12+2-9=-27