Answer:
Options A, B, and D are correct.
Step-by-step explanation:
The given function is p(x) = x³ - 6x² - x + 30
Given that p(5) = 0, p(3) = 0 and p(-2) = 0
Therefore, putting x = 5, or x = 3, or x = -2, the function p(x) vanishes to zero.
Therefore, those are the roots of the given function p(x).
Hence, we can conclude that (x - 5), (x - 3) and (x + 2) are the factors of the function p(x) = x³ - 6x² - x + 30.
So, options A, B, and D are correct. (Answer)
