is divided by (2x-1)

Let, f(x) = 4x³ – 12x² + 11x -5

Now,

As per the question,

2x – 1 = 0

2x = 1

x =

Using Remainder theorem,

We know that when f(x)is divided by (2x – 1), the remainder so obtained will be .

Hence,

= -4/2

= -2

Therefore,

The required remainder is -2.