According to the Distributive Property, which is a way to rewrite the algebraic expression (3x - 1)(x - 4) (1 point)

To rewrite the algebraic expression \((3x - 1)(x - 4)\) using the Distributive Property, we will distribute each term in the first parenthesis by each term in the second parenthesis.

1. Distribute \(3x\):
- \(3x \cdot x = 3x^2\)
- \(3x \cdot (-4) = -12x\)

2. Distribute \(-1\):
- \(-1 \cdot x = -x\)
- \(-1 \cdot (-4) = 4\)

Now, combine all these results together:
- \(3x^2 - 12x - x + 4\)

Combine like terms:
- \(3x^2 - 13x + 4\)

Thus, \((3x - 1)(x - 4)\) simplifies to \(3x^2 - 13x + 4\).

Among the options provided, none perfectly match our result, but if the goal is to find the closest suitable option based on a similar structure, the combination of terms aligns better to a rearranged form of:
- **3x^2 - 5x + 4** (but that does not match our derived equation nor the correct coefficients).

Let's check against the options given again:
- **3x^2 + 6x + 4** (incorrect)
- **3x(- 1) + 3x(3x) + x(- 4) + x(x)** (incorrect)
- **3x^2 - 5x + 4** (incorrect but similar structure)
- **3x(x) + 3x(- 4) + -1(x) + -1(- 4)** (incorrect structure, but gives some working parts for breakdown)

None correctly state the full outcome if needing exact matches. The operation correctness aligns to getting closer to alternative provided steps. Based on correct working, all provided options don’t directly give the result from the \( (3x - 1)(x - 4) \) operation through full distribution.