Question

if 0s of the polynomial 6x^2+4x+2alpha are alpha and 1/alpha then find the value of alpha?

Answer 1

Answer:

I explained in above pic ,if any doubt msg me

Answer 2

zeros of the polynomial 6x² + 4x + 2$\alpha$ are $\alpha$ and 1/$\alpha$

we have to use product of roots to find value of alpha.

product of roots = constant/coefficient of x²

or, $\alpha$ × 1/$\alpha$ = 2$\alpha$/6

or, 1 = $\alpha$/3

or, $\alpha$ = 3

hence, value of $\alpha$ = 3