Question

The remainder when x^3 - 11x + 10 is divided by (x+3) is

Answer 1

If you divide a polynomial $P(x)$ by a binomial $x-c$, then the remainder is equal to $P(c)$.

$c=-3\\R(x)=P(-3)\\ R(x)=(-3)^3-11\cdot(-3)+10\\ R(x)=-27+33+10\\ R(x)=16$