ccording to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)

To rewrite the expression \((3x - 1)(x - 4)\) using the Distributive Property (also known as the FOIL method for binomials), you can distribute each term in the first parenthesis to each term in the second parenthesis.

Following the steps:

1. First, multiply the first terms: \(3x \cdot x = 3x^2\).
2. Next, multiply the outer terms: \(3x \cdot (-4) = -12x\).
3. Then, multiply the inner terms: \(-1 \cdot x = -x\).
4. Finally, multiply the last terms: \(-1 \cdot (-4) = 4\).

Now combine all these results:

\[
3x^2 - 12x - x + 4
\]

Combine the like terms \(-12x\) and \(-x\):

\[
3x^2 - 13x + 4
\]

None of the provided options seem to match the correctly combined result. The correct answer would be \(3x^2 - 13x + 4\).

If we reassess the options given based on what matches with our intermediate steps prior to combining terms:

The expression \(3x(x) + 3x(-4) + -1(x) + -1(-4)\) contains all the correct elements as individual products, but it does not combine to one simplified expression.

Thus, although none match the final simplified version, option 3 fits in terms of the individual distributions.

Conclusively, the correct answer based on the distribution process is **3x(x) + 3x(-4) + -1(x) + -1(-4)**, but be sure to note that it is not fully simplified.