Question

if alpha beta and gamma are the zeroes of the polynomial f(x)= x^3-px^2+qx-r then find 1/alpha into beta +1/beta intogamma+1/gamma into alpha
plzzz answer it. I will definitely mark it as brainiliest

Answer 1

hope it helps you............

Answer 2

Answer:

Answer= p/r

Step-by-step explanation:

αβγ= -d/a= -(-r)/a= r/a but ∵a=1

so αβγ=r

αβ+βγ+γα= c/a=q/a but ∵a=1

so αβ+βγ+γα=q

α+β+γ= -b/a= -(-p)/1= p

Now,

1/αβ + 1/βγ + 1/γα= γ+α+β/αβγ= p/r.

Thank you!