Answer
$R=0$
Since $R=0$, $x-2$ is factor
Work Step by Step
$f\left( x\right) =3x^{4}-6x^{3}-5x+10=\left( x-2\right) {q}\left( x\right) +R$
$\Rightarrow f\left( 2\right) =R=0$
Since $R=0$, $x-2$ is a factor
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