Question

What is the remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2?

Answer 1

By the remainder theorem, dividing $f(x)$ by $x-2$ leaves a remainder of $f(2)$, which is

$f(2)=2(2)^4+(2)^3-8(2)-1=\boxed{23}$

which makes B the correct answer.