Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?

a. (x−3)(x^2+3x+9)
b. x^2(2x−54)(4x^2+54x+2916)
c. 2x^2(x−3)(x^2+3x+9)
d. The polynomial cannot be factored over the integers using the difference of cubes method.
2(x−54)(x^2−54x+2916)

Question 2: Which of the following expressions are factors of p(x)=4x^6+32x^3?

There may be more than one correct answer. Select all correct answers.

1. 4x^3
2. x+2
3. x+8
4. x^3+4
5. x^2−2x+4
6. x^2+2x+4