Answer:
2x -1
Explanation:
You want to show that (3x+4) is a factor of f(x) = 6x^2+5x-4, and you want the other factor.
Factors
When the product, f(x), is divided by one of its factors, the remainder will be zero and the quotient will be the other factor.
The attached long division shows the remainder (bottom line) is zero, and the quotient (top line) is (2x -1), the other factor.
The other factor is (2x -1).