Question

Find the remainder when (k - 2) is divided into (k2 - 7k + 11). A) 1 B) 2 C) 3 D) 4

Answer 1

By the polynomial remainder theorem, the remainder upon dividing a polynomial $p(x)$ by $x-c$ is exactly $p(c)$.

You have $p(2)=2^2-7(2)+11=1$, so the remainder is 1.