Question

What is the quadratic polynomial whose sum and the product of zeroes is √2, 1/3 respectively?

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