Question

if zeroes of polynomial 6x^2+4x+2a are alpha and1/alpha then find the value of a

Answer 1

Multiplication of zeros= c/a
$\alpha \times \frac{1}{ \alpha } = \frac{c}{a} \\ \alpha \times \frac{1}{ \alpha } = \frac{2a}{6} \\ 1 = \frac{2a}{6} \\ 2a = 6 \\ a = \frac{6}{2} \\ a = 3$