Question

Let, $f\left(x\right)=x^2-2x+1$. Find the remainder when $f\left(x\right)$ is divided by $(x-2)$.

Answer 1

Given, $f\left(x\right)=x^2-2x+1$.

Now, according to the remainder theorem, when $f\left(x\right)$ is divided by $(x-2)$ then the remainder will be $f\left(2\right)$.

Now,

$f\left(2\right)$

$=2^2-2^2+1$

$=1$.

So the remainder is $1$.