Question

find quadratic polynomial with zeroes 3+root2and3-root2

Answer 1

Let alpha =3+√2
beta=3-√2
sum of zeroes={3+√2}+{3-√2}
3+√2+3-√2
6
product of zeroes=(3+√2)(3-√2)
identity used ( a+b).( a-b)=. a sq. -b sq.
9-2=7
polynomial= k{x sq.-(sum of zeroes)x+(product of zeroes)}
x sq-6x+7