When p(x) = x 3 - 3x 2 + 4x + 32 is divided by (x + 2), the remainder is

Question

Philoid · Accepted Answer

We have,

x³ - 3x² + 4x + 32

Let, p (x) = x³ - 3x² + 4x + 32

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)³ - 3 (- 2)² + 4 (- 2) + 32

= - 8 - 12 – 8 + 32

= - 28 + 32

= 4

Hence, option D is correct