Question

What is the quadratic polynomial whose sum and the product of zeroes is root2 and 1/3 respectively?
A.
3x2-3V2x+1
B.
3x2+312x+1
C.
3x2+372x-1
D.
None of the above​

Answer 1

Let the two zeroes=α,β

By the problem,

α+β=√2

αβ=1/3

Eq of Q.P=k{x²-(α+β)x+(αβ)}=0,where k is a constant

=k(x²-√2x+1/3)

Let k be 3

=3(x²-√2x+1/3)

=3x²-3√2x+1

So option A is correct.