Question

if alpha and beta are the zeros of polynomial having one upon alpha and one upon beta is its zeros is​

Answer 1

Answer:

Step-by-step explanation:

Sol: Given α and β are zeroes of the polynomial f(x)=x2+px+q α+ β = -p αβ = q (1/α + 1/β) = (α + β) / αβ = - p / q 1/αβ = 1 / q. If 1/α, 1/β are zeros of the quadratic polynomial then the equation is x2 -(1 / α + 1 / β)x + 1 / αβ = 0 then x2 -(-p / q)x + 1 / q = 0 qx2 + px + 1 = 0