Question

If 2a³ + 7a² – 2k is divided by (a² + 1), the remainder is – 2a. Find the value of k.

विकल्प

• `7/2`

• `- 7/2`

• `- 2/7`

• `5/7`

Answer 1

`- 7/2`

Explanation:

`f(a) = 2a^3 + 7a^2 - 2k`

`a^2 + 1` = 0

⇒ `a^2 = - 1`

⇒ `2(-1)a + 7(-1) - 2k = - 2a`

⇒ `-2a - 7 - 2k = - 2a`

⇒ `-7 = 2k`

⇒ `k = (-7)/2`