Question

The value of p for which the polynomial x³ + 4x² − px + 8 is exactly divisible by (x−2) is

(a) 0

(b) 3

(c) 5

(d) 16

Answer 1

Here the given polynomial is

We have to find the value of p such that the polynomial is exactly divisible by

First we have to write equation in basic format of divisibility like this

After solving, we have seeing here the reminder is = 16x − px

So, to find the value of p we put the reminder is equal to zero.

Therefore

Hence option (d) is correct.