Question

If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial.

please give answer with steps as i am writing exam now quickly don't type i don;t know or some nonse please

Answer 1

${\red {{\bold{ \huge \dag }}\bold {\huge{{\mathcal {\underline{Answer}}}} \dag}}}$

FOR ANY QUADRATIC EQUATION,

$\bold{ {x}^{2} - (sum \: of \: roots)x + product \: of \: roots = 0}$

Hance,

the polynomial will be

${x}^{2} - (\alpha + \beta )x + \alpha \beta = 0$

$\longrightarrow \: \boxed {\mathfrak{ {x}^{2} + 6x + 5 = 0}}$

HOPE THIS IS HELPFUL...