Final answer:
Without the specific polynomial, we cannot determine which expressions are factors. However, polynomial division or the factor theorem can identify factors. Additionally, complex factors appear in conjugate pairs if they are factors of polynomials with real coefficients.
Step-by-step explanation:
To determine which of the listed expressions are factors of a given polynomial, the polynomial itself must be known. However, the question does not provide the polynomial we are supposed to find the factors of. To check if an expression is a factor of a polynomial, one method is to use polynomial division or apply the factor theorem, which states that if a value 'c' is a root of the polynomial, then x - c is a factor of that polynomial.
Without the specific polynomial provided in the original question, we cannot apply these methods directly to check the validity of options A through F. Complex factors, such as D (x - (1 - i)) and E (x - (1 + i)), come in conjugate pairs; if one is a factor, the other must be as well. This is because polynomials with real coefficients have complex roots that come in conjugate pairs.