Find the remainder using remainder theorem, when

2x³ – 4x² + 7x + 6 is divided by x – 2

2x³ – 4x² + 7x + 6 is divided by x – 2

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) = 2x³ – 4x² + 7x + 6 and we have (x – 2)

The zero of (x – 2) is 2

Now using Remainder theorem,

p(x) = 2x³ – 4x² + 7x + 6 is divided by x – 2 then, p(2) is the remainder

p(2) = 2(2)³ – 4(2)² + 7(2) + 6

= 16 – 16 + 14 +6

= 20

Remainder = 20