Question

Find the polynomial if its three zeroes are √5, -√5 and 1.

Answer 1

given three zeroes are :root 5, -root5 and 1

$\alpha + \beta + \gamma = \sqrt{5}$

$\alpha \beta + \beta \gamma + \alpha \gamma = - \sqrt{5}$

$\alpha \beta \gamma = 1$

the polynomial is x3- root5x- root5- 1.

hope this helps.