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

Question

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

✓

Answer

As $(x - 2)$ is a factor of $f(x) = x^2 + 3ax - 2a$
$i.e., f(2) = 0$
$(2)^2 + 3a(2) - 2a = 0$
$4 + 6a - 2a = 0$
$= -1$

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