Question 50
The polynomial $p(x)$ has the following property: for every triple of integers $a, b, c$ with $a+b+c=2022$ we have $p(a)+p(b)+p(c)=p(674)$. It is also known that $p(0)=-2696$. What is the value of $p(2022)$?
(A) $-2696$
(B) $674$
(C) $5392$
(D) $8088$
(E) It cannot be determined from the given data.
(A) $-2696$
(B) $674$
(C) $5392$
(D) $8088$
(E) It cannot be determined from the given data.