Question

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

Answer 1

Answer:

16

Step-by-step explanation:

Since x³ + 4x² - px + 8 is exactly divisible by x - 2, the remainder should be 0.

So, 12x - px + 4x = 0

⇒ 16x - px = 0

⇒ x (16 - p) = 0

⇒ x = 0 or 16 - p = 0

x cannot be 0.

So, 16 - p = 0

⇒ p = 16