SOLUTION: use synthetic division to find the value of f(-2) for f(x)=x exponent 3 -3x exponent 2 -x-9

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Question 49125: use synthetic division to find the value of f(-2) for f(x)=x exponent 3 -3x exponent 2 -x-9
Answer by venugopalramana(3286) About Me  (Show Source):
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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