Question

If $x-2$ is a factor of $x^2+3ax-2a$, then $a=$

Answer 1

Given: $x-2$ is a factor of $x^2+3ax-2a$

By factor theorem $f\left(2\right)=0$

$\Rightarrow (2{)}^2+3\times a\times (2)-2\times a=0$

$\Rightarrow 4+6a-2a=0$

$\Rightarrow 4a=-4$

$\Rightarrow a=-\frac{4}{4}=-1$

$\because$ The value of $ais-1$.

Hence, option (D) is the correct answer.