Question

if -1 and 2 are the zeros of the p(x) 2x3-x2-5x-2 .find the third zero.​

Answer 1

$let \: \alpha \: be \: the \: third \: root \: and \: \beta = - 1 \: and \: \gamma = 2 \\ 2 {x}^{3} - {x}^{2} - 5x - 2 \\ product \: of \: roots \: = \frac{ - d}{a} \\ = > \alpha \beta \gamma = \frac{ - ( - 2)}{2} \\ = > \alpha \times ( - 1) \times 2 = 1 \\ = > \alpha = \frac{ - 1}{2}$