Remainder theorem

Question

Use the remainder theorem to find P(-2) for P(x)= x^4+2x^3-4x^2+6

Answer 1

So the theorem states that if we want to find p(-2) , it is the same as the remainder after dividing the polynomial with (x-c) in that case , divide by (x-(-2)—> x+2

so the answer should be:

x^4+2x^3-4x^2+6 / x+2

after doing long division (or synthetic division) the remainder is -10 and that is the answer of p(-2)