Question

If α and β are the zeroes of a polynomial such that α + β = -6

and αβ = 5, then find the polynomial.​

Answer 1

Answer:

$\alpha + \beta = - 6 \\ \alpha \beta = 5 \\ we \: know, \\ polynmial \: = {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ = > {x}^{2} - ( - 6)x + 5 = 0 \\ = > {x}^{2} + 6x + 5 = 0 \: is \: the \: req \: polynomial.$