Question

If the sum of the zeroes of the quadratic polynomial kx² + 2x + 3k is equal to their product, then k equals

Options

• `1/3`

• `- 1/3`

• `2/3`

• `- 2/3`

Answer 1

`bb(- 2/3)`

Explanation:

Given polynomial = kx² + 2x + 3k

Comparing it by ax² + bx + c, we get

a = k, b = 2 and c = 3k

Sum of zeroes = `- b/a = - 2/k`

Product of zeroes = `c/a = (3k)/k = 3`

According to the question,

Sum of zeroes = Product of zeroes

⇒ `- 2/k = 3`

⇒ `k = - 2/3`