Question

if alpha and beta are the zeroes of the quadratic polynomial p(x)=ax2+bx+c then evaluate alpha^2 beta +alpha beta^2

Answer 1

Given quadratic polynomial is ax2 + bx + c
Given α, β are the zeroes of the given polynomial
α + β = ( – b/a)
αβ = (c/a)



α^2.β + α.β^2 = αβ(α + β)