SOLUTION: Find the value of f(x)=-16x^3+18x^2-x+2 at x=-2 using synthetic division.

Question 820946: Find the value of f(x)=-16x^3+18x^2-x+2 at x=-2 using synthetic division.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
First of all, please post in a relevant category. You posted this under Quadratic Equations but it is not a quadratic. I have changed the category to an appropriate one: Polynomials.

It is the Remainder Theorem which allows us to divide a polynomial in order to find the value of the polynomial for some value of x. To find the value of f(-2) we will divide by (x-(-2)). Using synthetic division to divide:

-2  |  -16   18    -1    2
-----        32  -100  202
       -------------------
       -16   50  -101  204

The remainder is in the lower right corner. The Remainder theorem tells us that the remainder will be f(-2). So f(-2) = 204
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