Answer:
Error made by Andrew: He identified incorrect factors based on the roots.
Step-by-step explanation:
The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:
(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.
<pBy simplification, we obtain:(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.
This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.
Thus, the polynomial can be expressed as: