Question

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

Answer 1

If the zeroes 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