If $(x – a)$ is factor of $x^3 – a^2x + x + 2$ then find the value of $a$.

Explanation

$(x - a)$ is a factor of given equation $\therefore x – a = 0$ $x = a$ Substituting the value in the given equation— $a^3 – a^3 + a + 2 = 0$ $\therefore a = - 2$