SOLUTION: If a polynomial f(x) has a remainder of -8 when divided by x-9, what is f(9)?

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Question 1008814: If a polynomial f(x) has a remainder of -8 when divided by x-9, what is f(9)?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
This is motivated in the Rational Roots Theorem.

f%28x%29%2F%28x-9%29=Q%28x%29-8, whatever may be the quotient Q(x).

f%28x%29=Q%28x%29%28x-9%29-8%28x-9%29

9 is obviously one of the zeros for f(x).
f%289%29=0.