Question

if
$\alpha$
and

$\beta$
are the zeros of the polynomial f(x) = 2x + px + q then find a polynomial having
$\frac{1}{ \alpha }$
and
$\frac{1}{ \beta }$
as its zeros is​

Answer 1

Answer:

(2 + p)/x + q

Step-by-step explanation:

I would find this the simplest approach.

Consider the function having the zeroes 1/α and 1/β respectively. We can represents this as f(1/x)?

=> f(1/x) = (2*(1/x)) + p(1/x) + q

=> f(1/x) = (2 + p)/x + q

Hope this helps !