Question

find a quadratic polynomial whose zeroes are 3+under root 2 and 3-under root 2

Answer 1

let the polyNomial be, ax^2+bx+c = 0
3+√2 + 3-√2 = -b/a
6 = -b/a
and ,(3+√2)(3-√2) = c/a
7 = c/a
so ,a = 1 ,b = -6 and c = 7
the eqn is x^2-6x+7.