Question

Find α, β are the zeros of polynomial α + β = 6 and αβ = 4 then write the polynomial. 

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

Answer 1

If the zeros of the quadratic polynomial are 𝛼 and 𝛽 then the quadratic polynomial can be found as x² – (α + β)x + αβ   ...(1) 

Substituting the values in (1), we get 

x² – 6x + 4