Question

If one of the zeroes of the cubic polynomial ax^3+bx^2+d is zero. Then find product of other two zeroes

Answer 1

We generally know that the sum of product of roots of a cubic equation is given by c/a

Given one root is 0

Let the other roots be α,β

So,
If three roots were α, β, γ
αβ + βγ+ γα = c/a

Here,
αβ + β(0) + (0)α = c/a

αβ = c/a

Hence the product of other two roots is c/a