When p (x) = x 4 + 2x 3 – 3x 2 + x – 1 is divided by (x – 2), the remainder is

Question

Philoid · Accepted Answer

We have,

x⁴ + 2x³ – 3x² + x - 1

Let, p (x) = x⁴ + 2x³ – 3x² + x - 1

And, x - 2 = 0

x = 2

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

∴ p (2) = (2)⁴ + 2 (2)³ – 3 (2)² + 2 - 1

= 16 + 16 – 12 + 2 – 1

= 34 – 13

= 21

Hence, option D is correct