Question

IF U R A genius then answer it....

Q. A group consists of 12 honest people and 8 dishonest people. Write a quadratic polynomial whose
roots are equal to number of honest and dishonest people.​

Answer 1

honest people=12

dishonest people=8

quadratic equation with roots a,b

is X^2-(a+b)X +ab=0

$x ^{2} - (12 + 8)x + 12 \times 8 \\ = 0$

$x ^{2} - 20x + 96 = 0$

Answer 2

x = 12

x = 8

are the roots of polynomial

$a \: quadratic \: polynomial \: is \: of \: the \: form \\ \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \\ for \: roots \: \alpha \: \beta \\ \\ now \\ \\ \alpha = 12 \\ \\ \beta = 8 \\ \\ then \: the \: polynomial \: is \\ \\p(x) = {x}^{2} - 20x + 96$

hope it helps.