Question

If one zero of a quadratic polynomial (kx² + 3x + k) is 2, then the value of k is ______.

Options

• `5/6`

• `- 5/6`

• `6/5`

• `- 6/5`

Answer 1

If one zero of a quadratic polynomial (kx² + 3x + k) is 2, then the value of k is `underlinebb(- 6/5)`.

Explanation:

Since, 2 is a zero of the quadratic polynomial p(x) = kx² + 3x + k.

Therefore, p(2) = 0

⇒ k(2)² + 3(2) + k = 0

⇒ 4k + 6 + k = 0

⇒ 5k = – 6

⇒ `k = - 6/5`