Question

If α and β are the zeroes of a polynomial such that α+β=6 and αβ=4 then write the quadratic polynomial.

Easy

Solution

Verified by  GMS

Given that,

α+β=6 And αβ=4

The quadratic polynomial whose zeroes are α,β   is,

f(x)=k[x2−(α+β)x+αβ]

=k[x2−6x+4]

Where ′k′ is any non zero real number