Question

Find the remainder when $f\left(x\right)=2x^2-4x+2$ is divided by $g\left(x\right)=x-2$.

• A. -2
• B. 2
• C. 1
• D. -1

Answer 1

The correct option is B 2

Given: $f\left(x\right)=2x^2-4x+2$ and $g\left(x\right)=x-2$

We know that when f(x) is divided by x - a, the remainder is f(a).

So, when $f\left(x\right)=2x^2-4x+2$ is divided by $g\left(x\right)=x-2$, the remainder will be f(2)

$f\left(2\right)=2(2{)}^2-4(2)+2$
$f\left(2\right)=8-8+2$
$f\left(2\right)=2$
Remainder = 2