When p (x) = 4x3 - 12x2 + 11x – 5 is divided by (2x – 1), the remainder is
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