To solve this problem, we follow these steps:
Step 1: Distribute the (x-4) term into each term in the equation for both expressions.
> (x² - 3x - 1)(x - 4) simplifies to x³ - 4x² - 3x² + 12x - x + 4, which further simplifies to x³ - 7x² + 11x + 4.
> (3x² - 14x + 5)(x - 4) simplifies to 3x³ - 12x² - 14x² + 56x + 5x - 20, which simplifies to becomes 3x³ - 26x² + 61x - 20.
Step 2: Add the simplified expressions.
> (x³ - 7x² + 11x + 4) + (3x³ - 26x² + 61x - 20)
> This simplifies to 4x³ - 33x² + 72x - 16.
So the answer to the problem is 4x³ - 33x² + 72x - 16.