Question

If alpha and beta are zerors of polynomial f(x) =ax^2+bx+c then evaluvate alphasquarebeta + alphabetasquare..

Answer 1

Heya

$f(x) = ax {}^{2} + bx + c \\ \\ \alpha + \beta = - b \div a \\ and \\ \alpha \times \beta = c \div a \\ \\ \alpha {}^{2} \times \beta + \beta {}^{2} \times \alpha = \alpha \beta ( \alpha + \beta ) \\ \\ \alpha {}^{2} \times \beta + \beta {}^{2} \times \alpha = - bc \div a {}^{2}$