Question

if
$if \alpha and \: \beta are \: zeroes \: of \: polynomial \:2 {x }^{2} + 5x + 1 \: then \: find \: the \: value \: of \alpha + \beta + \alpha \times \beta$

Answer 1

If $\alpha$ and $\beta$ are the zeroes of the p(x)

Then, $\alpha$+$\beta$ = -b/a

And, $\alpha$*$\beta$ = c/a

=> $\alpha$+$\beta$ = -5/2            ............Eq.(1)  

=> $\alpha$*$\beta$ = 1/2              .............Eq.(2)

Adding Eq.(1) and Eq.(2)

$\alpha$+$\beta$+ $\alpha$*$\beta$ =-4/2=-2

Thanks!!!