Question

if the product of two zeroes of the polynomials f(y)=3y^3 - 5y^2 - 11y - 3is -3, then find it's third zero​

Answer 1

Answer:

f(x)=2x3+6x2−4x+9

Let three zeroes be α,β,γ

Product of 3 zeroes=a−d=2−9

Given Product of 2 zeroes =3

or α.β=3

⇒αβγ=2−9⇒3γ=2−9⇒γ=2−3

Third zero is 2−3