Question

Find the quadratic polymomial whose sum and product of its zeros respectively are 2 and - 4

Answer 1

x sq. -(α+β)x+αβ

x sq. - 2x - 4

hope this will help you

Answer 2

hey mate... let the roots be a and b.

let the sum of the roots be (a+b) = 2.

also,

product of the roots ab= -4

now the formula for finding a quadratic equation=

x2 - (a+b)x + ab

x2- 2x- 4....required quadratic equation