Question

Find a quadratic polynomial whose zeros are √2+1 and 1÷√2+1 .

Answer 1

Answer:

The quadratic polynomial is x^2 -(2v 2) x+1

1/v2+1=v2 - 1

Sum of the roots =(v2 +1)+(v2 - 1)=2v2

Product of roots =(v2+1)(v2 - 1)=1