Question

find a quadratic polynomial if sum and product of its zeroes are 2 and 5.​

Answer 1

Answer:

$x^{2}$ - 2x + 5

Step-by-step explanation:

sum of zeroes = -coefficient of x/coefficient $x^2$

product = constant / coefficient $x^2$

let coefficient $x^2$ = 1

polynomial = $x^2$ - sx + p

 s = 2

p = 5

polynomial = $x^2$ - 2x +5

Answer 2

Answer:

formula of forming quadratic equation

x²-(α+β)x+(αβ)

Step-by-step explanation:

given

α+β=2

αβ=5

so the ans is

x²-(2)x+(5)

x²-2x+5