Question

For what value of k, the product of zeroes of the polynomial kx² − 4x − 7 is 2?

Options

• `−1/14`

• `−7/2`

• `7/2`

• `−2/7`

Answer 1

`-7/2`

Explanation:

Given that, Polynomial as kx² − 4x − 7

Product of zeroes = 2

We know that,

For ax² + bx + c,

Product of zeroes = `c/a`

So, we have,

⇒ 2 = `(−7)/k`

⇒ k = `(−7)/2`