Question

If the sum and product of zeroes are 0 and -√2,then find the equation of polynomial​

Answer 1

Answer:

$clearly \: \\ sum \: of \: zeoes \: = \alpha + \beta \\ \frac{ - b}{a } = 0 \\ product \: of \: zeoes \: = \alpha \beta \\ \frac{c}{a } = - \sqrt{2} \\ hence \: the \: required \: polynomial \:is \: \\ p(x) = {x}^{2} - \sqrt{2}$