Question

How do you use the factor theorem to determine whether x-3 is a factor of `P(x) = x^3 - 2x^2 + 22`?

Answer 1

`(x-3)` is not a factor.
If `(x-3)` is a factor, P(3) = 0. Here, P(3) = 31.

Explanation:

P(x) / (x-3) = `x^2` + `22/(x-2)`