Let p(x) be a polynomial with 4,(x−1),(3−x), and (x2−2)as four of its factors. Select each statement that is true for all such polynomials p(x).
A
The polynomial p(x) must have 0 as a zero.

B
The polynomial p(x) must have 1 as a zero.

C
The polynomial p(x) must have 2 as a zero.

D
The polynomial p(x) must have 3 as a zero.

E
The polynomial p(x) must have 4 as a zero.