Find the value of `k` if `x-3` is a factor of `k^2x^3-k x^2+3k x-k`

Explanation

To find the value of \( k \) such that \( x - 3 \) is a factor of the polynomial \( k^2x^3 - kx^2 + 3kx - k \), we can use the Factor Theorem. According to the Factor Theorem, if \( x - 3 \) is a factor of the polynomial, then substituting \( x = 3 \) into the polynomial should yield zero.

### Step-by-Step Solution:

1. **Substitute \( x = 3 \) into the polynomial**:
\[ k^2(3)^3 - k(3)^2 + 3k(3) - k = 0 \]
...