Question

Find a quadratic polynomial, the sum and product of whose Zeroes are 2+√3 and 2-√3
​

Answer 1

alpha+beta=2+root3+2-root3

=4

alpha*beta =2+root3*2-root3

=(2-root3)²

=4-3

=1

The quadratic polynomial is

x²-(alpha+beta)x+alphabeta

x²-4x+1