Answer:
(2x -3)
Explanation:
If you assume that the result is a binomial, you can find the terms of it from ...
(8x^2)/(4x) + (3)/(-1) = (2x -3)
As a check, you can multiply it out.
(2x -3)(4x -1)/(4x -1) = (8x^2 -14x +3)/(4x -1) . . . . as required
The quotient is (2x -3).