Question

If one zero of the polynomial f (x)=kx^2-px+5 is reciprocal of the other, then the value of k is

Answer 1

Step-by-step explanation:

please mark has brainliest answer

Answer 2

Answer:

The value of k is 5.

Step-by-step explanation:

Given polynomial f(x)=kx^2-px+5

We are given that one zero is reciprocal of the other.

Let $\alpha ,\frac{\\1}{\alpha }$ be the roots of the given polynomial.

product of roots(zeros)  $=\frac{c}{a} =\frac{5}{k}$

$\alpha .\frac{1}{\alpha } =\frac{5}{k}$

$\alpha .\frac{1}{\alpha } =1$ .so we get,

$\frac{5}{k} =1$

On Cross multiplication

k=5(1)

k=5

Therefore, the value of k is 5.