College Algebra (10th Edition)

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