Question

if alpha and beta are the zeroes of the polynomial x² -6x +p. find the value of p, if 3 alpha + 2 beta = 20​

Answer 1

ANSWER:

given

$p(x) = {x}^{2} - 6x + p$

$\alpha \\ \beta \\ are \: the \: zeroes \: of \: the \: polynomial$

and their relation given Is

$3 \alpha + 2 \beta = 20$

REQUIRED TO FIND:

value of p

METHOD:

in the attachment

IDENTITIES USED:

$> sum \: of \: roots \: = \dfrac{ - b}{a}$

$> product \: of \: roots = \dfrac{c}{a}$