Is (x - 2) a factor of f (x) = x3 - 2x2 + 2x + 3? Use either the remainder theorem or the factor theorem to explain your reasoning.

Step-by-step explanation:

According to factor theorem, if (x - 2) is a factor of f (x), then f (2) = 0.

f (2) = (2) ³ - 2 (2) ² + 2 (2) + 3

f (2) = 7

Therefore, (x - 2) is not a factor of f (x).