Question

If $p^2-6p+7$ is divided by $(p-1)$ the remainder will be

• A. positive
• B. zero
• C. negative
• D. none of these

Answer 1

The correct option is A positive

Here,$f\left(p\right)=p^2-6p+7$, and zero of $p-1$ is 1.
$\therefore f\left(1\right)=1^2-6\left(1\right)+7=2$
Therefore, by Remainder Theorem, 2 is the remainder when$p^2-6p+7$ is divided by $p-1$.
Therefore, remainder is 2, which is positive.
Hence, Option A is correct.