Question

The remainder when $x^4-3x^3+2x^2$ is divided by $x-2$ is:

• A. $3$
• B. $2$
• C. $1$
• D. $0$

Answer 1

The correct option is D $0$

Given polynomical is:
$f\left(x\right)=x^4-3x^3+2x^2$

Using remainder theorem, when $f\left(x\right)$ is divided by $x-2$, remainder is given by $f\left(2\right)$.
$f\left(2\right)=(2{)}^4-3(2{)}^3+2(2{)}^2$
$f\left(2\right)=16-24+8$
$f\left(2\right)=0$