Question

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

Answer 1

Answer:

k = -15

Step-by-step 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,

$\alpha \times \dfrac{1}{\alpha }=\dfrac{-k}{15}\\\\-k=15\\\\k=-15$

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