We have,

4x³ - 12x² + 11x - 5

Let, p (x) = 4x³ - 12x² + 11x - 5

And, (2x – 1) = 0

2x = 1

x =

It is given that, (2x - 1) is a factor of p (x) so the remainder is equal to p()

∴ p (2) = 4 ()³ - 12 ()² + 11 () - 5

= 4 × - 12 × + 11 × - 5

= - 3 + - 5

= – 8

= 6 – 8

= - 2

Hence, option C is correct