SOLUTION: Use polynomial remainder theorem to evaluate the polynomial for the given value f(X)-x to the power of 3-x to the power of 2-2x-5:f(-5)

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Question 1024650: Use polynomial remainder theorem to evaluate the polynomial for the given value
f(X)-x to the power of 3-x to the power of 2-2x-5:f(-5)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You can use ^ for exponentiation, e.g.

f(x) = x^3 - x^2 - 2x - 5

Since f(x) can be written in the form (x+5)Q(x) + R for some constant R, the remainder can be computed by simply computing f(-5) (so that the equation becomes f(-5) = R). To compute f(-5), simply replace all x's with -5 and simplify.