Answer:
D.
Step-by-step explanation:
So we know that P(x) is a polynomial.
We also know that:

And we want to find the remainder when P(x) is divided by (x+5).
To do so, we can use the Polynomial Remainder Theorem.
The theorem states that if a polynomial f(x) is divided by (x-a), then the remainder will be f(a).
So, we are dividing our polynomial P(x) by (x+5).
(x+5) is the same as (x-(-5)).
Therefore, our remainder will be the same as P(-5).
As given, P(-5) is -2.
Therefore, our remainder is -2.
Our answer is choice D.