Find α, β are the zeros of a polynomial such that α + β= 6 and αβ = 4 then write the polynomial.
It is given in the question that,
α + β= 6
And, αβ = 4
We know that,
If the zeros of the polynomial are 
then the quadratic polynomial can be found as x2 – (
) x + 
(i)
Now substituting the values in (i), we get
x2 – 6x + 4
4