Question

If one zero of the polynomial f(x) = 15x^2+14x-k is

Answer 1

k = -15

Explanation:

The given question says that,

If one zero of the polynomial
`f(x)=15x^2+14x-k` is reciprocal of the other. We need to find the value of k.

Let
`\alpha` be one of the zero then 1/
`\alpha` will be another zero of the polynomial.

We now that,

Product of zeroes = c/a

We have, c = -k and a = 15

So,

`\alpha * (1)/(\alpha )=(-k)/(15)\\\\-k=15\\\\k=-15`

So, the value of k is equal to (-15).