Question

if alpha and beta are the zeros of the polynomial 2 X square + 7 x + 5 find the value of first part alpha + beta + alpha beta II part 1 upon alpha plus one upon beta third part Alpha upon beta + beta upon Alpha​

Answer 1

$2 {x}^{2} + 7x + 5$

$2 {x}^{2} + 2x + 5x + 5$

2x(x+1)+5(x+1)

(x+1)(2x+5)=0

x=-1,-5

$\alpha = - 1 \: \beta = - 5$

$\alpha + \beta + \alpha \beta =$

-1-5+5=-6+5=-1