Question

Find quadratic polynomial whose sum and product of zeroes are root2+1 and 1/1+root2

Answer 1

Answer:

Given ,Sum of roots=α+β=

a

−b

=

2

Product of roots=αβ=

a

c

=3

Polynomial: p(x)=x

2

−(α+β)x+αβ=0

p(x)=x

2

−

2

x+3