Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.

The remainder is 55

Step-by-step explanation:

Let

According to the remainder theorem, if p(x) is divided by x+a, the remainder is p (-a).

The given divisor is x+2, therefore the remainder is given by:

We substitute x=-2 to get:

We simplify to obtain:

We multiply to get:

Therefore the remainder is 55