Question

find a quadratic polynomial if sum and product of it's zeros 2, -2
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Answer 1

Step-by-step explanation:

let the quadratic polynomial be ax^2 + bx + c

let a= 1

sum of zeroes = 2 = - (b) / a

2 = - b / 1

- 2 = b

product of zeroes = - 2 = c / a

- 2 = c / 1

- 2 = c

putting the values of b and c in the quadratic polynomial we get

x^2 - 2x - 2