Question

$\text{Find the remainder when}p\left(x\right)=x^2-2x+5\text{is divided by}(x-2).$

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is B 5

$\text{From remainder theorem, we know}\text{that the remainder when}p\left(x\right)\text{is}\text{divided by (}x-2\text{) is}p\left(2\right)\text{.}$
$\therefore p\left(2\right)=2^2-2\left(2\right)+5=5$