Find the value of k, if `x-1`is a factor of `4x^3+3x^2-4x+k`.

Explanation

To find the value of \( k \) such that \( x - 1 \) is a factor of the polynomial \( 4x^3 + 3x^2 - 4x + k \), we can use the Factor Theorem. According to the Factor Theorem, if \( x - 1 \) is a factor of the polynomial, then substituting \( x = 1 \) into the polynomial should yield a result of zero.

### Step-by-Step Solution:

1. **Define the polynomial**:
Let \( P(x) = 4x^3 + 3x^2 - 4x + k \).

2. **Use the Factor Theorem**:
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