Find a quadratic polynomials whose zeros are 3+ root 2 and 3 - root 2.

zeroes are 3 +sqrt(2) and 3 - sqrt(2)

f(x) = x^2 - ( sum of zeroes)x +(product of zeroes)
f(x) = x^2  - ( 3 + sqrt(2) + 3 - sqrt(2) )x + ( ( 3+sqrt(2))(3 - sqrt(2) ) )
f(x) = x^2 - 6x  +(9-4)
f(x) = x^2 - 6x + 5