Question

Find the zeroes of the following quadratic polynomial and verify the relationship b/w the zeroes and the coefficient. ........(i) 4u square + 8u

Answer 1

$4 {u}^{2} + 8u = 0 \\ 4u(u + 2) = 0 \\ u = 0 = \alpha \\ u = - 2 = \beta \\ \alpha + \beta = - \frac{b}{a} \\ - 2 + 0 = - \frac{8}{4} = - 2 \\ \alpha \beta = \frac{c}{a} \\ ( - 2)(0) = \frac{0}{4} = 0$