Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.1,1

Dear Student


Given,
Sum of zeroes = 1 =α + β
Product of zeroes = 1 =αβ

Therefore,
if α and β are zeroes of any quadratic polynomial,
then the polynomial can be written as:-

x^2– (α + β)x + αβ

x^2– x + 1

Thus,
x^2– x + 1 is the quadratic polynomial.

Thanks