Find the remainder using remainder theorem, when

4x³ – 12x² + 11x – 5 is divided by 2x – 1

4x³ – 12x² + 11x – 5 is divided by 2x – 1

Remainder theorem states that if p(x) is any polynomial and a is any real number and If p(x) is divided by the linear polynomial (x – a) , then the remainder is p(a).

Let p(x) = 4x³ – 12x² + 11x – 5 and we have (2x – 1)

The zero of (2x – 1) is

Now using Remainder theorem,

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

Remainder = –2