Question
Find, in given case, the remainder when: $x^3+3 x^2-12 x+4$ is divided by $x -2$

Answer

$f(x)=x^4-3 x^2-12 x+4$
$\begin{aligned} \text { Remainded } & =f(2)=(2)^3+3(2)^2-12(2)+4 \\ & =8+12-24+4 \\ & =0\end{aligned}$

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