Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

1, 1

For given roots,

Quadratic equation : x² - (Sum of roots)x + (Product of roots) = 0

Substituting values we get :

⇒ x² - 1x + 1 = 0

⇒ x² - x + 1 = 0.

Hence, required quadratic equation is x² - x + 1 = 0.