Question

Find the value of a, if x-a is a factor of
$x^3-2a{x}^2+x-9+1$

Answer 1

Mistake : $1$ is given instead of $-a$

Given $x-a$ is a factor of $x^3-2a{x}^2+x-9-a$

$⟹a^3-2a^3+a-8-a=0$

$⟹a^3+8=0$

$⟹a=-2$