Question

For example, f(x) is a multipart which if divided by `x^3+27`, the remainder is `x^2-2x+7`. If f(x) is divided by `x^2-3x+9`, the remainder is?

Answer 1

`x-2`

Explanation:

Since `x^2-3x+9` is a divisor of `x^3+27`, we need only find the remainder of `(x^2-2x+7) -: (x^2-3x+9)`.

That remainder is `(x^2-2x+7) - (x^2-3x+9)`, which is `x-2`