What is the remainder when x^{6}-4x^4+4x^2-10 is divided by x+3?

431

Step-by-step explanation:

Let

We want to find the remainder when this polynomial is divided by x+3.

We use the remainder theorem.

Which says that, when p(x) is divided by x-a, the remainder is p(a)=R.

Therefore the remainder when p(x) is divided by x+3 is p(-3).

We evaluate:

We multiply to get;

We simplify to get:

Therefore the remainder is 431