Let $f(x)$ be a polynomial of degree greater than $2$. If $f(1) = 2$ and $f(2) = 3$, find the remainder when $f(x)$ is divided by $(x-1)(x-2)$.
As follows:
By the Remainder Theorem, the remainder is 4x - 3.
Please show your working.
Thanks Alan,
That makes good sense :)