Question

if zeroes of the polynomial x²+4x+2a are alpha and 2/alpha then find the value of a

Answer 1

Zeroes of the polynomial is
$\alpha \: and \: \frac{2}{ \alpha }$


F(x) = x² + 4x + 2a

Find the product of zeroes

$\\ \alpha \times \frac{2}{ \alpha } = \frac{c}{a} = \frac{2a}{1} \\ \\ 2 = 2a \\ \\ a = 1$